tag:blogger.com,1999:blog-54087925432661086952024-02-21T20:44:30.900-05:00matematicos1234Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.comBlogger18125tag:blogger.com,1999:blog-5408792543266108695.post-30199989546593596202011-10-12T16:48:00.002-05:002011-10-12T16:49:48.227-05:00CUADRO DE CLASIFICACIÓN DE ÁNGULOSPASAR ESTE CUADRO A SU CUADERNO DE APUNTES<br />
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<div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSspuesJ-sXlMTCwtuxMT8Nbn4ilD7YmLZqn6h1P_PQ8lKVlXrNNmGl1LN3lzzQdlFLFlbyGv7Y9NKqrEPnIJpfB_hLPP-WO8KCTzwnh69bp34WManUHmFVXNkaLZtd6Gfs3_veTP-aPu6/s1600/ANGULOS+CLASIFICACI%25C3%2593N.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="364" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSspuesJ-sXlMTCwtuxMT8Nbn4ilD7YmLZqn6h1P_PQ8lKVlXrNNmGl1LN3lzzQdlFLFlbyGv7Y9NKqrEPnIJpfB_hLPP-WO8KCTzwnh69bp34WManUHmFVXNkaLZtd6Gfs3_veTP-aPu6/s640/ANGULOS+CLASIFICACI%25C3%2593N.bmp" width="640" /></a></div><br />
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<div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYBW2zUYdlOFyh8FsMR_6PMgzDfxer7MlCl0rkYXWCaVlL4bnmY7StmpsC-a5ok6ega5ZqOZnjZzMdqW0D0VEDzCRCDN6uJDwak2HbpG73uUnD2IVVMVGPAOpJi76hk0IkRnT4b9eoBb-f/s1600/ANGULOS+CLAS+II.bmp" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="131" oda="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYBW2zUYdlOFyh8FsMR_6PMgzDfxer7MlCl0rkYXWCaVlL4bnmY7StmpsC-a5ok6ega5ZqOZnjZzMdqW0D0VEDzCRCDN6uJDwak2HbpG73uUnD2IVVMVGPAOpJi76hk0IkRnT4b9eoBb-f/s640/ANGULOS+CLAS+II.bmp" width="640" /></a></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com2tag:blogger.com,1999:blog-5408792543266108695.post-52369090565602834542011-10-10T08:38:00.012-05:002011-10-10T09:43:16.441-05:00TALLER GEOMETRÍAAmigo estudiante a continuación encuentra un taller para resolver:<br />
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INSTITUCIÓN EDUCATIVA COLEGIO NUESTRA SEÑORA DE BELÉN<br />
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TALLER: ÁNGULOS<br />
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Alumno: Grado: 6 “A - B - C”<br />
Asignatura: Matemáticas Periodo: IV<br />
Docente: Manuel Enrique Rivera / Darly K. Guerrero. Fecha: 10/10/11<br />
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1. Con la ayuda del transportador halla el valor de los siguientes ángulos:<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiyfwQkXzJcwB9IKCC3BrxTyzdEdk_19EFrzLKqZTLNCp49wa6FWd8JgCmeu_gFEl1dZf908tdG3Q8fRi-9Zc7ONEE_LB8BAGFSaRnh6paRpVsA9zz7m7xKxo6syZPsT__dl0WarqPpfHt/s1600/ANGULOS.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="72" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiyfwQkXzJcwB9IKCC3BrxTyzdEdk_19EFrzLKqZTLNCp49wa6FWd8JgCmeu_gFEl1dZf908tdG3Q8fRi-9Zc7ONEE_LB8BAGFSaRnh6paRpVsA9zz7m7xKxo6syZPsT__dl0WarqPpfHt/s400/ANGULOS.bmp" width="400" /></a><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">2. Observa el grafico y responde:</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">a) ¿Qué ángulo forman las mancillas de cada reloj?</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjN73D3A31BxdLPMbUPQkIWR26w7VeFd8bZWgkUQiujFQEbCKu2fmagQpIs4XeFd2uA6CpM-v8U8F0TamA4ymZMegS77_y6QkjVbZJC3XzidtKN4uoKpiSoc2hc81oxtx3FBtDKICzJCWI1/s1600/ANGULOS+RELOJ.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="82" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjN73D3A31BxdLPMbUPQkIWR26w7VeFd8bZWgkUQiujFQEbCKu2fmagQpIs4XeFd2uA6CpM-v8U8F0TamA4ymZMegS77_y6QkjVbZJC3XzidtKN4uoKpiSoc2hc81oxtx3FBtDKICzJCWI1/s400/ANGULOS+RELOJ.bmp" width="400" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
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b) Cuál es el ángulo que forman las manecillas del reloj: a) a las 6:00, b) a las 2:30 y c) a las 9:30. (Dibuja el ángulo respectivo en cada reloj y escribe en la línea el valor y tipo del ángulo que se forma)<br />
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</div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDL3_XQx-HczznrzpE7ay9JI2pjS0mnfZN7x_NVau8UBoIhxpjv4B67Vm7ESTLw8sOS8lFuuSd9bR5WQbskf9iD-bo74AsNiT2MpvyCBMed1QuwXI_lpXROUodQTtL_VAkceyKLXtg2yOh/s1600/RELOJES+ANGULOS.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="98" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDL3_XQx-HczznrzpE7ay9JI2pjS0mnfZN7x_NVau8UBoIhxpjv4B67Vm7ESTLw8sOS8lFuuSd9bR5WQbskf9iD-bo74AsNiT2MpvyCBMed1QuwXI_lpXROUodQTtL_VAkceyKLXtg2yOh/s400/RELOJES+ANGULOS.bmp" width="400" /></a><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div>3. Indica, según la posición, el tipo de ángulos<br />
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<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguEPMd0mOWCO7HTzQHpHf4dvxvF4oevIGmLWxZ4khtLHOYcpPz0K2SSxgHirICCY_BkqyJ3bz2f4S-obnOEBIrjO5qQz_gS-IezXntsmtywBWmva1ta9lq7SgdxR0i4du5IU0-8ycVqFSa/s1600/ANGULOS+POSICI%25C3%2593N.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="45" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguEPMd0mOWCO7HTzQHpHf4dvxvF4oevIGmLWxZ4khtLHOYcpPz0K2SSxgHirICCY_BkqyJ3bz2f4S-obnOEBIrjO5qQz_gS-IezXntsmtywBWmva1ta9lq7SgdxR0i4du5IU0-8ycVqFSa/s400/ANGULOS+POSICI%25C3%2593N.bmp" width="400" /></a><br />
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4. Calcula la abertura del ángulo que falta. Di de qué tipo de ángulos se trata.</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxIanVa7A5XZqKLgvLeevg_agZXMlG6C63JOUaIMvXHZ1fShlRMJkI9dDkwqKpq52a2fUlD__LR8IME5CY70ruQbpaaMm9oDYYicv9njOldb6_5OXdAU1AO91vtLLQJK4EeJc0ySJNO60Y/s1600/COMP.+y+SUP..bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="61" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjxIanVa7A5XZqKLgvLeevg_agZXMlG6C63JOUaIMvXHZ1fShlRMJkI9dDkwqKpq52a2fUlD__LR8IME5CY70ruQbpaaMm9oDYYicv9njOldb6_5OXdAU1AO91vtLLQJK4EeJc0ySJNO60Y/s400/COMP.+y+SUP..bmp" width="400" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">5. Completa la siguiente tabla:</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYn0fX6aAIN3OSdRaTxtgT3Ta15Ntq1m0QXThU5XJCH1taq5SthJvLTdv6Zwb-P5fspeG6leQYmsIFzDw0h6ptUqdA5fe1cHZuLC4isPXDU9xRASdxVj5wgngqSeMC_4Mf7OxyyGKBHLa2/s1600/ANGULOS+TABLA.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="45" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYn0fX6aAIN3OSdRaTxtgT3Ta15Ntq1m0QXThU5XJCH1taq5SthJvLTdv6Zwb-P5fspeG6leQYmsIFzDw0h6ptUqdA5fe1cHZuLC4isPXDU9xRASdxVj5wgngqSeMC_4Mf7OxyyGKBHLa2/s400/ANGULOS+TABLA.bmp" width="400" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">6. Observa el grafico y responde:</div></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0W2Dh_SpvNFl6lbR66x5qrncrWOWN9m3AooLSMskgzu_o4e1ALjHNw1NgXiaWT9BUGACXUXVFBLENErcsiDshWDvJS8lMF3JQXs7JfKjWSVlEPR922BWwVqTqqVOFPv010AJ93vxmjDTs/s1600/ANGULOS+DIFERENTES+CLASES.bmp" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" kca="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0W2Dh_SpvNFl6lbR66x5qrncrWOWN9m3AooLSMskgzu_o4e1ALjHNw1NgXiaWT9BUGACXUXVFBLENErcsiDshWDvJS8lMF3JQXs7JfKjWSVlEPR922BWwVqTqqVOFPv010AJ93vxmjDTs/s1600/ANGULOS+DIFERENTES+CLASES.bmp" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
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<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Las rectas 1 y 2 son: ____________</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Las rectas 2 y 3 son: ____________</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Las rectas 1 y 3 son: ____________</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• El punto donde se cortan las rectas 1 y 2 es: ________ </div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• El punto donde se cortan las rectas 1 y 3 es: ________</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">7) Completa:</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Dos rectas ___________________ Forman cuatro ángulos rectos.</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Dos rectas ____________________ Se cortan en un punto</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Un ángulo _________________ es mayor que un ángulo recto.</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">• Un ángulo _________________ es menor que un ángulo recto.</div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com2tag:blogger.com,1999:blog-5408792543266108695.post-72739165445477914392011-06-29T18:14:00.001-05:002011-06-29T18:21:51.520-05:00EVALUACIÓN TIPO ICFES PERIODO IICOL. NTRA. SRA. DE BELÉN - MATEMÁTICAS – EVAL. TIPO ICFES GRADOS SEXTOS – PERIODO II<br />
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En un almacén de ropa de Cúcuta los precios fluctúan de acuerdo a la calidad de los artículos, en múltiplos de $10.000, así las camisas van desde $30.000 hasta $120.000; los pantalones desde $80.000 hasta $140.000; los zapatos desde $100.000 hasta $250.000 y las correas desde $10.000 hasta $100.000 y el bolívar (Bs) lo reciben a $0,50.<br />
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1) La cantidad mínima para comprar tres artículos diferentes es:<br />
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A) $30.000 B) $210.000 C) Menos de $600.000 D) $120.000<br />
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2) Comprar un estreno completo pagando en bolívares, cuesta mínimo:<br />
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A) Bs 440.000 B) Bs 1.220.000 C) Bs 305.000 D) Entre 305.000 y 1.300.000 Bs.<br />
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3) Para comprar dos estrenos completos de la mejor calidad se debe pagar:<br />
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A) $440.000 B) $1220.000 C) $305.000 D) Màs de $400.000<br />
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4) Un caballero tiene $950.000 decide llevar un par de zapatos y una correa de la mejor calidad y el resto del dinero entre pantalones y camisas, pero que sean dos camisas por cada pantalón y de la mejor calidad posible juntos, la mejor opción es:<br />
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A) 1 pantalón y 2 camisas. B) 2 pantalones y 4 camisas.<br />
C) 3 pantalones y 6camisas D) 4 pantalones y 8 camisas<br />
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5) No importando la calidad de las prendas, pero llevando el mismo número de cada una de ellas, con $300.000 y Bs 300.000, la cantidad de combos posibles es:<br />
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A) 3 combos B) Menos de 4 combos C) 4 combos D) 2 combos<br />
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El papá de Pedrito estudiante de 6° grado del colegio Nuestra Sra. De Belén le dice: tengo tres trozos de palo de escoba de 30 cms., 45 cms. y 90 cms. Como usted ya tiene suficientes conocimientos de matemáticas, necesito que me colabore con las siguientes preguntas:<br />
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6) ¿Cuál es el tamaño más grande que pueden tener los pedazos, en que corte los palos de escoba, para que se desperdicie la menor cantidad posible de madera? <br />
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A) 10 cms. B) 15 cms. C) 20 cms. D) 30 cms.<br />
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7) ¿Cuántos cortes debo hacer para obtener estos pedazos?<br />
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A) 8 cortes B) 11 cortes C) 3 cortes D) 9 cortes<br />
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Luís, Jorge y Daniel fueron a practicar sus deportes al autodromo: Luís en bicicleta de carreras, Jorge en bicicleta montañera y Daniel en moto. Si Daniel demora 20 minutos en darle la vuelta al circuito, Luís 30 minutos y Jorge 40 minutos y los tres parten a las 9:30 a. m. del mismo punto de salida.<br />
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8) ¿A qué hora volverán a pasar los tres a la vez por el mismo punto de salida?<br />
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A) 60 minutos después B) 120 minutos después C) A las 10:30 a. m. D) A las 11:30 a. m.<br />
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9) En este momento que vuelven a pasar los tres a la vez por el punto de salida ¿Cuántas vueltas han dado Daniel, Luís y Jorge respectivamente?<br />
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A) 3, 4 y 6 vueltas B) 4, 3 y 6 vueltas C) 6, 4 y 3 vueltas D) 4, 6 y 8 vueltas <br />
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El Profesor Enrique para comprobar si sus estudiantes entendieron los conceptos de potenciación, radicación y logaritmación, hace a sus discípulos algunas preguntas como esta:<br />
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10) De las siguientes expresiones ¿cuál representa un cuadrado?<br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYKDX6o58Av3M8IO2Y_WViReYx9M8dpHoCXZRmBKKB8YVfBpumnkoJTX1PzfOv6MsmdPKQsdI7zAD2ybU6FHdE6ze38mxLfP4xxHzt3uPUNYgUsCxflaadbDjt5YK1WhPywBprUYZkshzU/s1600/RAIZ.bmp" imageanchor="1" style="clear:left; float:left;margin-right:1em; margin-bottom:1em"><img border="0" height="42" width="258" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYKDX6o58Av3M8IO2Y_WViReYx9M8dpHoCXZRmBKKB8YVfBpumnkoJTX1PzfOv6MsmdPKQsdI7zAD2ybU6FHdE6ze38mxLfP4xxHzt3uPUNYgUsCxflaadbDjt5YK1WhPywBprUYZkshzU/s320/RAIZ.bmp" /></a></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com71tag:blogger.com,1999:blog-5408792543266108695.post-67027822200390633672011-06-29T17:58:00.002-05:002011-06-29T18:24:54.101-05:00EVALUACIÓN TIPO ICFES PERIODO II<i><b>COMO NO SE PUEDE VER BIEN DE ESTA FORMA. POR ESO ESTA EN EL OTRO BLOG<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdK0i9Iq9pxgzZ15N6D_hHgE9r8vzY5fV5oG15WXItOVJAVUm1ZX8FEiSQS78uuL0FUfjzKVhCQyWdC6R9fHlu5ygxeithWFd8pSVztO9wktF6Aullwonw7L2fuStdjpjUODc05awIdhtD/s1600/PRUEBA+ICFES+PERIODO+II.bmp" imageanchor="1" style="clear:left; float:left;margin-right:1em; margin-bottom:1em"><img border="0" height="320" width="249" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdK0i9Iq9pxgzZ15N6D_hHgE9r8vzY5fV5oG15WXItOVJAVUm1ZX8FEiSQS78uuL0FUfjzKVhCQyWdC6R9fHlu5ygxeithWFd8pSVztO9wktF6Aullwonw7L2fuStdjpjUODc05awIdhtD/s320/PRUEBA+ICFES+PERIODO+II.bmp" /></a></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com3tag:blogger.com,1999:blog-5408792543266108695.post-47020329828630029462011-06-11T14:14:00.000-05:002011-06-11T14:14:26.288-05:00DIAPOSITIVAS MINIMO COMUN MULTIPLO<object id="__sse8281308" width="425" height="355"><param name="movie" value="http://static.slidesharecdn.com/swf/ssplayer2.swf?doc=diaposiminimocomun-110611135943-phpapp01&stripped_title=diaposi-minimo-comun&userName=ManuelEnriqueRiveraG" /><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed name="__sse8281308" src="http://static.slidesharecdn.com/swf/ssplayer2.swf?doc=diaposiminimocomun-110611135943-phpapp01&stripped_title=diaposi-minimo-comun&userName=ManuelEnriqueRiveraG" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com5tag:blogger.com,1999:blog-5408792543266108695.post-75195290545109465832011-06-09T16:17:00.001-05:002011-06-09T16:28:30.336-05:00RELACIONES ENTRE POTENCIACIÓN - RADICACIÓN Y LOGARITMACIÓN<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhp6Trjz1J6bPFUlIQKODNDk5u9aWy2jedYX-ZKVuRzGf3P-ktLyvTJWmVNCUP6eEHyqUy94JOvQg2VqdzZK3f6KfAdgY2HvQYBx1AGrnlzZQ5-9E02duwsCAp_VxE3OKn_fDT1sE1Xl4RV/s1600/RELACIONES+ENTRE+POTENC.-+RADIC.+-+LOG..bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="140" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhp6Trjz1J6bPFUlIQKODNDk5u9aWy2jedYX-ZKVuRzGf3P-ktLyvTJWmVNCUP6eEHyqUy94JOvQg2VqdzZK3f6KfAdgY2HvQYBx1AGrnlzZQ5-9E02duwsCAp_VxE3OKn_fDT1sE1Xl4RV/s400/RELACIONES+ENTRE+POTENC.-+RADIC.+-+LOG..bmp" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;">JOVENES ESTUDIANTES CON BASE EN ESTE EJERCICIO ELABORE UNA TABLA Y DELE 2 VALORES CONOCIDOS PRIMERO DE POTENCIACIÓN Y HALLE LOS DEMAS DESPUES 2 DE LA RADICACIÓN HAGA LO MISMO Y POR ÚLTIMO 2 DE LA LOGARITMACIÓN Y HALLE LOS DEMÁS. BUENA SUERTE.</div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com22tag:blogger.com,1999:blog-5408792543266108695.post-67983788042763755422011-06-07T20:20:00.000-05:002011-06-07T20:20:34.689-05:00DIAPOSITIVAS M.C.D.<object id="__sse8240503" width="425" height="355"><param name="movie" value="http://static.slidesharecdn.com/swf/ssplayer2.swf?doc=diapo-m-c-d-110607195847-phpapp02&stripped_title=diapo-mcd-8240503&userName=ManuelEnriqueRiveraG" /><param name="allowFullScreen" value="true"/><param name="allowScriptAccess" value="always"/><embed name="__sse8240503" src="http://static.slidesharecdn.com/swf/ssplayer2.swf?doc=diapo-m-c-d-110607195847-phpapp02&stripped_title=diapo-mcd-8240503&userName=ManuelEnriqueRiveraG" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="355"></embed></object>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com6tag:blogger.com,1999:blog-5408792543266108695.post-72467409528358053772011-06-07T07:13:00.000-05:002011-06-07T07:13:29.411-05:00VIDEO<a href="http://www.youtube.com/watch?v=1XOElJti6bw">VIDEO CONJUNTOS</a>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com7tag:blogger.com,1999:blog-5408792543266108695.post-17265274758504787202011-06-06T10:53:00.001-05:002011-06-07T09:36:32.358-05:00MÁXIMO COMÚN DIVISOR<b style="mso-bidi-font-weight: normal;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;"></span></span></b><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAMZLo9iDimGwYu0myIgQnYBY-aJ08gn5CNuKr74AFOsYbkV0H_LrZaIjcp_1hLqps1_S4UaOhDAJSWIMTkgZAH3joLWhzdnkw5g9FHahRM1hneVrC0qmM6rLJuhQj0LoOZ9CISHSnWfFa/s1600/TITULO+M.C.D..bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="65" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAMZLo9iDimGwYu0myIgQnYBY-aJ08gn5CNuKr74AFOsYbkV0H_LrZaIjcp_1hLqps1_S4UaOhDAJSWIMTkgZAH3joLWhzdnkw5g9FHahRM1hneVrC0qmM6rLJuhQj0LoOZ9CISHSnWfFa/s400/TITULO+M.C.D..bmp" t8="true" width="400" /></a></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">El máximo común divisor de dos ó más números es el más grande de los divisores que es común de los dos.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Miremos los números 12, 18<span style="mso-spacerun: yes;"> </span>y<span style="mso-spacerun: yes;"> </span>24.<span style="mso-spacerun: yes;"> </span>Saquemos los divisores de estos números.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;"></span></span><br />
<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;">Divisores:</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;">12 = (1, 2, 3, 4, 6. 12)<span style="mso-spacerun: yes;"> </span>18 = (1, 2, 3, 6, 9, 18)<span style="mso-spacerun: yes;"> </span>24 = (1, 2, 3, 4, 6, 8, 12, 24)</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;">Señalemos los divisores comunes y escojamos el mayor de ellos.</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;">12 = (1, 2, 3, 4, 6. 12)<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>18 = (1, 2, 3, 6, 9, 18)<span style="mso-spacerun: yes;"> </span>24 = (1, 2, 3, 4, 6, 8, 12, 24)</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: Symbol; mso-ansi-language: ES-CO; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">*</span></span><span style="mso-ansi-language: ES-CO;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;">El mayor de los divisores comunes es 6, este es el máximo común divisor de 12, 18 y 24.</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;">Hay una forma más fácil y práctica de hallar el máximo común divisor y es mediante la descomposición de factores:</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZOG4n023b590W7sUoFo-6kNWE_NRIW2glApQqsnVh3pQ7nPfKxRbTwkOXXut8YoyHn7hi0sjmrVSc9p7DN7PHfFijB4cLBUEok2-9YfWY3A_uLa75UnPhodD2FVdAfdKMmY1rp3zxrMwp/s1600/M%25C3%25A1ximo+Com%25C3%25BAn+Divisor.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="85" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZOG4n023b590W7sUoFo-6kNWE_NRIW2glApQqsnVh3pQ7nPfKxRbTwkOXXut8YoyHn7hi0sjmrVSc9p7DN7PHfFijB4cLBUEok2-9YfWY3A_uLa75UnPhodD2FVdAfdKMmY1rp3zxrMwp/s400/M%25C3%25A1ximo+Com%25C3%25BAn+Divisor.bmp" t8="true" width="400" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="color: black; mso-ansi-language: ES-CO; mso-themecolor: text1;"><span style="font-family: Arial;">Trabajo en clase:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="color: black; mso-ansi-language: ES-CO; mso-themecolor: text1;"><span style="font-family: Arial;">Hallar el M. C. D. de:<span style="mso-spacerun: yes;"> </span>a)<span style="mso-spacerun: yes;"> </span>18, 24 y 30<span style="mso-spacerun: yes;"> </span>b)<span style="mso-spacerun: yes;"> </span>20, 40 y 60<span style="mso-spacerun: yes;"> </span>c)<span style="mso-spacerun: yes;"> </span>18, 27 y 81</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Problemas de aplicación del Máximo Común Divisor:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">El máximo común divisor se puede aplicar en la solución de problemas que involucran repartición de cantidades, como la longitud.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Se desea cortar 3 varillas en partes iguales de tal forma que no sobre ningún pedazo. ¿Cuál será la longitud más grande que puede tener cada trozo y cuantos pedazos se obtienen si las varillas miden 30, 42 y <metricconverter productid="54 cm" w:st="on">54 cm</metricconverter>?</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Tabla de datos:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">L<sub>1</sub> = <metricconverter productid="30 cm" w:st="on">30 cm</metricconverter>.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">L<sub>2 </sub>= <metricconverter productid="42 cm" w:st="on">42 cm</metricconverter>.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">L<sub>3</sub> = <metricconverter productid="54 cm" w:st="on">54 cm</metricconverter>.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">¿Cuántos trozos iguales se obtienen?</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><shapetype coordsize="21600,21600" id="_x0000_t133" o:spt="133" path="m21600,10800qy18019,21600l3581,21600qx,10800,3581,l18019,qx21600,10800xem18019,21600nfqx14438,10800,18019,e"><path gradientshapeok="t" o:connectangles="270,180,90,0,0" o:connectlocs="10800,0;0,10800;10800,21600;14438,10800;21600,10800" o:connecttype="custom" o:extrusionok="f" textboxrect="3581,0,14438,21600"></path></shapetype><shape id="_x0000_s1026" style="height: 9.25pt; left: 0px; margin-left: 402pt; margin-top: 13.55pt; position: absolute; rotation: -30929283fd; text-align: left; width: 30pt; z-index: 251721728;" type="#_x0000_t133"><span style="font-family: Arial;"></span></shape><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">¿Cuál es la longitud de cada trozo?</span></span></div><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizxRKz-gRMeArXtmCl4UaUdz_S11Ifkt4SjCwE_dalUlquhDL0gxk9XueXCBwbtQs0B-hPQwo9ymbxNdzYG9bKmzHF8xJ5GpsgCuAmsUGO4Z9TECyQQx_xeIlPuKOl1OIyd1s6MpIsDB7M/s1600/VARILLAS+CORTADAS.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="76" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizxRKz-gRMeArXtmCl4UaUdz_S11Ifkt4SjCwE_dalUlquhDL0gxk9XueXCBwbtQs0B-hPQwo9ymbxNdzYG9bKmzHF8xJ5GpsgCuAmsUGO4Z9TECyQQx_xeIlPuKOl1OIyd1s6MpIsDB7M/s400/VARILLAS+CORTADAS.bmp" t8="true" width="400" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>¿Cuántos?</span></span></div><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Este problema pertenece a M. C. D. de números naturales.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Planteamos la ecuación ó ecuaciones respectivas:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span style="mso-ansi-language: ES-CO;"><span style="font-family: Arial;">Long. de cada pedazo = M. C. D. de L<sub>1</sub>, L<sub>2</sub> y L<sub>3</sub></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhilp2GbB_qkA3liG92VUG25FLzGg2YEbGFCddt8jN6QcK-px_bmLP5yqIhfoYxvzGNcm1iu5bXH86LW4UCaY8x1Y0lmHjvhB4atAEpgJf46SjJhTKeW_zxWPo5O1rKtA73by2Z7OIKTdXb/s1600/No+de+trozos.bmp" imageanchor="1" style="clear: left; cssfloat: left; float: left; height: 53px; margin-bottom: 1em; margin-right: 1em; width: 472px;"><img border="0" height="53" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhilp2GbB_qkA3liG92VUG25FLzGg2YEbGFCddt8jN6QcK-px_bmLP5yqIhfoYxvzGNcm1iu5bXH86LW4UCaY8x1Y0lmHjvhB4atAEpgJf46SjJhTKeW_zxWPo5O1rKtA73by2Z7OIKTdXb/s400/No+de+trozos.bmp" t8="true" width="400" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES"><span style="font-family: Arial;">No hay que hacer conversiones, pues todas las longitudes están en centímetros.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
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</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Sf4JtDnEkMSn0OlpDq1nfAbCzBCIingHhFEA_B5j89R5hFygRq1gkCR41EsanoyeVAEoFylKIBUWnbmT93VZbzhJa-qW4JbbVFsY4tFteHJ0hTCITXe3YlQ5QqhQdL4Mr94K5kKFGInR/s1600/FORMULAS+M.C.D..bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="137" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Sf4JtDnEkMSn0OlpDq1nfAbCzBCIingHhFEA_B5j89R5hFygRq1gkCR41EsanoyeVAEoFylKIBUWnbmT93VZbzhJa-qW4JbbVFsY4tFteHJ0hTCITXe3YlQ5QqhQdL4Mr94K5kKFGInR/s400/FORMULAS+M.C.D..bmp" t8="true" width="400" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES"><span style="font-family: Arial;">Hacemos las conclusiones:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">La longitud de cada pedazo es de <metricconverter productid="6 cm" w:st="on">6 cm</metricconverter>. que fue el resultado de hallar el M.C.D. de las longitudes de las tres varillas de <metricconverter productid="30 cm" w:st="on">30 cm</metricconverter>.,<span style="mso-spacerun: yes;"> </span><metricconverter productid="42 cm" w:st="on">42 cm</metricconverter>. y <metricconverter productid="54 cm" w:st="on">54 cm</metricconverter>. </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">El número de pedazos es de 21 que fué el resultado de dividir la longitud de cada varilla de 30, 42 y 54 cms. entre </span></span><span lang="ES"><span style="font-family: Arial;">el M. C. D. de 6 cm. y luego hacer la suma de estos cocientes 5 + 7 + 9.</span></span></div><div class="separator" style="clear: both; text-align: center;"></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
<a href="http://www.youtube.com/watch?v=l6DVyLgcIBc">DIAGRAMAS</a></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com15tag:blogger.com,1999:blog-5408792543266108695.post-70271207887594252762011-05-13T17:37:00.004-05:002011-05-13T18:06:41.692-05:00PRODUCTO DE POLINOMIOS ARITMÉTICOS<div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES"><span style="font-family: Arial;">Producto de un número natural por un polinomio aritmético.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; tab-stops: 64.7pt;"><span lang="ES"><span style="mso-tab-count: 1;"><span style="font-family: Arial;"> </span></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES"><span style="font-family: Arial;">Para multiplicar un número natural por un polinomio aritmético, se multiplica el número natural por cada uno de los términos del polinomio, teniendo en cuenta el signo que se antepone a cada uno de ellos.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
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</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5wghM-2ZRuuuxr3HJU3SPzFJSOtIr6SJBpkX2MjOw5BEzpvClTo6riWOH8wbd8cbfPYF3KweIu6fz9-0-5AtvgirI-N4cYCLwjTNq3eFCycJM4WgY6lKpnZzsk-hd3h85rAPrRzRz18Z2/s1600/ARCOS+POLINOMIO.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="90" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5wghM-2ZRuuuxr3HJU3SPzFJSOtIr6SJBpkX2MjOw5BEzpvClTo6riWOH8wbd8cbfPYF3KweIu6fz9-0-5AtvgirI-N4cYCLwjTNq3eFCycJM4WgY6lKpnZzsk-hd3h85rAPrRzRz18Z2/s400/ARCOS+POLINOMIO.bmp" width="400" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Producto de dos polinomios.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Se procede de la misma manera que en los casos anteriores pero teniendo en cuenta que ya el primer factor es también un polinomio y se debe colocar el signo de cada factor y abrir un paréntesis, luego hacer las operaciones y eliminar los signos de agrupación utilizados. El paréntesis de la multiplicación del primer número por el polinomio se puede no colocar, como en el siguiente ejemplo, el correspondiente a las líneas continuas.</span></span></div><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0Dh889lbUsP6Y6Vp1t0ykKVwZFDn09X3uVnAp_SdDaFfZAWzI8nrpQb1layA63rCEzZpQ1sMPAx3W8otjdZpLNPgSx-4tX4d6mS8IljdGnvRzNuRdP33fbDLENtSBk0NSgEeP8tZOvpQk/s1600/ARCOS+II.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="307" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0Dh889lbUsP6Y6Vp1t0ykKVwZFDn09X3uVnAp_SdDaFfZAWzI8nrpQb1layA63rCEzZpQ1sMPAx3W8otjdZpLNPgSx-4tX4d6mS8IljdGnvRzNuRdP33fbDLENtSBk0NSgEeP8tZOvpQk/s400/ARCOS+II.bmp" width="400" /></a></div><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com12tag:blogger.com,1999:blog-5408792543266108695.post-2313725794361965362011-04-12T07:43:00.003-05:002011-04-12T14:35:28.143-05:00FIGURAS EN MOVIMIENTO CON EL TANGRAM<a href="http://www.juntadeandalucia.es/averroes/iesarroyo/matematicas/taller/juegos/tangram/tangram.swf">Figuras de Tangram</a><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj56I5HCrSAuYtKBoSmh8RPOdm7BEyxQeCbsGPXA1XTpj3ihV3Q-FQYI44TYdujwVzmVMRtBAEsy-eQjiiCSioQ_GLC9pTgMy9LlR8r-n-QSGY8FJj1WJuUs9ifMc4nSiBkCFW1msf_XXYP/s1600/tangram.jpg" imageanchor="1" style="clear:left; float:left;margin-right:1em; margin-bottom:1em"><img border="0" height="79" width="106" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj56I5HCrSAuYtKBoSmh8RPOdm7BEyxQeCbsGPXA1XTpj3ihV3Q-FQYI44TYdujwVzmVMRtBAEsy-eQjiiCSioQ_GLC9pTgMy9LlR8r-n-QSGY8FJj1WJuUs9ifMc4nSiBkCFW1msf_XXYP/s320/tangram.jpg" /></a></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com7tag:blogger.com,1999:blog-5408792543266108695.post-5036342600936729752011-03-27T13:47:00.001-05:002011-03-27T13:47:48.903-05:00OPERACIONES ENTRE CONJUNTOS<div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCZbS3nFJ4ox2Mdvc8AUrjsfzbKZ-LN5DcXXDGS0UlG5xf8FOHXLKYVq8MeONvWgPADpXyGeK5MJq_T5ebxR6UPIf_vICJIZFRKO10j4TBnyaeYzDV3D4oNFGysPeZJD6WFGidLIZ0YXtC/s1600/Nueva+imagen+%25286%2529.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="100" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCZbS3nFJ4ox2Mdvc8AUrjsfzbKZ-LN5DcXXDGS0UlG5xf8FOHXLKYVq8MeONvWgPADpXyGeK5MJq_T5ebxR6UPIf_vICJIZFRKO10j4TBnyaeYzDV3D4oNFGysPeZJD6WFGidLIZ0YXtC/s400/Nueva+imagen+%25286%2529.png" width="400" /></a></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Se pueden combinar los elementos de dos conjuntos para producir conjuntos nuevos mediante diferentes operaciones.</span><span lang="ES" style="mso-ansi-language: ES;"></span></div><div style="tab-stops: 72.75pt; text-align: justify;"><span style="mso-tab-count: 1;"> </span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #c00000; font-family: "Arial", "sans-serif"; font-size: 24pt; mso-ansi-language: ES;">Unión entre conjuntos:</span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><br />
</div><div align="right" style="margin-left: 177pt; text-align: right;"><span lang="ES" style="background: silver; color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;">Dados dos conjuntos A y B, el conjunto formado por la reunión de los elementos de A con los elementos de B (sin repetir), es decir los elementos comunes y no comunes de ellos se llama unión de A y B</span></div><div align="right" style="margin-left: 177pt; text-align: right;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">y se simboliza así: </span><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">A </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">È</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">x / x </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ú</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> x </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B</span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">.</span></div><div style="text-align: justify;"><span style="font-family: "Arial", "sans-serif";"><br />
</span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Si A= </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0, 2, 3, 4, 6, 8 </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0, 2, 4, 8 </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> C = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">1, 2, 3, 5, 7, 8, 9</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><span lang="ES" style="color: black; mso-ansi-language: ES;"> </span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">A</span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">2, 4</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A </span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B </span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; font-size: 14pt; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> C </span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">= </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">2</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> <b style="mso-bidi-font-weight: normal;">Representación gráfica de la unión: </b></span></div><div style="text-align: justify;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><img border="0" height="108" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBj7UWsH8-hANnV76sbUX8hm013ugMpRxkXv5gvROeC6vfoqcetByD2DohW-3JMvgC2nSP8r66QlRBwWn_4iPVjvlmdWmT45ofQzi3c-tb5lyEZozUZWkUppQWe0izttwPYoQ0P7Tzy59F/s320/UNI%25C3%2593N.bmp" width="320" /><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Los Los elementos comunes se colocan en la intersección de los aros u óvalos.</span><span lang="ES"> </span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #c00000; font-family: "Arial", "sans-serif"; font-size: 24pt; mso-ansi-language: ES;">Intersección de conjuntos:</span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><br />
</div><div align="right" style="margin-left: 177pt; text-align: right;"><span lang="ES" style="background: silver; color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;">Dados dos conjuntos A y B, el conjunto formado por los elementos comunes de A y B se llama intersección de A y B, es decir corresponde a los elementos que pertenecen al conjunto A y pertenecen al conjunto B</span><span lang="ES" style="color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent6; mso-themeshade: 128;"> </span></div><div align="right" style="margin-left: 177pt; text-align: right;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">y se simboliza así: </span><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">A </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">x / x </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; font-size: 14pt; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ù</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> x </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B</span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">.</span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Si A = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">2, 3, 4, 6</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0, 2, 4, 8 </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> C = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">1, 2, 3, 5, 7, 8, 9</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A </span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">2, 4</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A </span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B </span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ç</span></span><span lang="ES" style="color: #4f6228; font-size: 14pt; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> C </span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">= </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">2</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Representación gráfica de la intersección: </span></b></div><div style="text-align: justify;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_wlKqSArFhDJy7a3QrHI15VqTkJRxjGzT5Ms-kC_gb90h_cnCXh6LsYZnrAENo4sV7bhrWyt-HdOAxQegEHPn6hA9k-dT6IoCIPInH3UY7DP1Xy5cYIpHTVBoJoTLkRc3fNy7v2wbirO9/s1600/INTERSECCI%25C3%2593N.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="142" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_wlKqSArFhDJy7a3QrHI15VqTkJRxjGzT5Ms-kC_gb90h_cnCXh6LsYZnrAENo4sV7bhrWyt-HdOAxQegEHPn6hA9k-dT6IoCIPInH3UY7DP1Xy5cYIpHTVBoJoTLkRc3fNy7v2wbirO9/s400/INTERSECCI%25C3%2593N.bmp" width="400" /></a></div><div align="center" class="separator" style="margin: 0cm 0cm 0pt; text-align: center;"><span style="mso-no-proof: yes;"></span></div><div align="center" class="separator" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Son solamente los elementos repetidos en los conjuntos dados.</span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #c00000; font-family: "Arial", "sans-serif"; font-size: 24pt; mso-ansi-language: ES;">Diferencia entre conjuntos:</span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><br />
</div><div align="right" style="margin-left: 177pt; text-align: right;"><span lang="ES" style="background: silver; color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;">Dados 2 conjuntos A y B, el conjunto formado por los elementos que pertenecen al conjunto A y no pertenecen al conjunto B se llama la diferencia entre A y B</span><span lang="ES" style="color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent6; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> y se simboliza así: A – B: </span><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">A </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; font-size: 14pt; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">–</span></strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; font-size: 14pt; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">B = </span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">x / x </span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A </span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; font-size: 14pt; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ù</span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> x </span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ï</span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B</span></b><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></b><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">.</span></div><div style="text-align: justify;"><span style="font-family: "Arial", "sans-serif";"><br />
</span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Si A = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">2, 3, 4, 6</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0, 2, 4, 8 </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">A – B = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">3, 6 </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> B – A = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0, 8 </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Representación gráfica de la diferencia: </span></b></div><div style="text-align: justify;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga_cT5YwQUvVszkFuPMKFQ5I8CEWZoIXcozLOsDXIs47GJlJFidzVXHUmEbVnll56sGFK-X03cLO6Hb5UWW5JEc9FWnBknsMc5M6rWIpwMO_PibMj4gJEkPznNybSceTbpcZ9VatlQTs9l/s1600/DIFERENCIA.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="82" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEga_cT5YwQUvVszkFuPMKFQ5I8CEWZoIXcozLOsDXIs47GJlJFidzVXHUmEbVnll56sGFK-X03cLO6Hb5UWW5JEc9FWnBknsMc5M6rWIpwMO_PibMj4gJEkPznNybSceTbpcZ9VatlQTs9l/s400/DIFERENCIA.bmp" width="400" /></a></div><div align="center" class="separator" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><br />
<div style="text-align: justify;"><span lang="ES" style="color: #c00000; font-family: "Arial", "sans-serif"; font-size: 24pt; mso-ansi-language: ES;">Complemento de un conjunto:</span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; font-size: 24pt; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><br />
</div><div align="right" style="text-align: right;"><span lang="ES" style="background: silver; color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;">Dado un conjunto universal <b style="mso-bidi-font-weight: normal;">U</b> y un conjunto A, se define como complemento de A, al conjunto formado por todos los elementos que le faltan al conjunto A, para ser igual al conjunto <b style="mso-bidi-font-weight: normal;">U</b> </span></div><div align="right" style="text-align: right;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">y se simboliza así: </span><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">A' = </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">x / x </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> U </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; font-size: 14pt; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ù</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> x </span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ï</span></span></strong><strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A</span></strong><strong><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></strong><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">.</span></div><div style="text-align: justify;"><span style="font-family: "Arial", "sans-serif";"><br />
</span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Si </span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">U = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">los números dígitos</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">los números dígitos impares</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><span style="font-family: "Arial", "sans-serif";"> </span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Hallar el complemento de A. ( A' )</span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Primero determinamos los conjuntos U y A por extensión:</span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">U = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0,1,2,3,4,5,6,7,8,9</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">1,3,5,7,9</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> A' = </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">0,2,4,6,8</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Representación gráfica del complemento: </span></b></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwieFjWqyfOlGGHG9YUz-FZn6ghStG8T2KzJcWOD8uXp_0QgjyFdm1yp7VFzvQdaFEixIXor5zcpYwTf3hySyrzZkHBC7C5dYzhhP2FJ1mF8lIuiL9m603gwdZpb68vFBEPo8lhz6PuCcY/s1600/DIAG+VENN+COMPL..bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="115" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwieFjWqyfOlGGHG9YUz-FZn6ghStG8T2KzJcWOD8uXp_0QgjyFdm1yp7VFzvQdaFEixIXor5zcpYwTf3hySyrzZkHBC7C5dYzhhP2FJ1mF8lIuiL9m603gwdZpb68vFBEPo8lhz6PuCcY/s400/DIAG+VENN+COMPL..bmp" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br />
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</div><div align="center" class="separator" style="margin: 0cm 0cm 0pt; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-Jk_isEPufXW0dxGLBo5D9raK0jYtxu_VD7t8-yXfLMLxxbG8dA5yznquFFVgwgu1BnCBC_mLqqEatVszx3V2eaDVXbmUeP3amFQ7cD7FxUGIu3dwZQeoh5K_nEW6LYUnKVIzsiIqNZGR/s1600/Nueva+imagen+%25281%2529.png" imageanchor="1"><span style="color: blue; mso-no-proof: yes; text-decoration: none; text-underline: none;"><shape alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-Jk_isEPufXW0dxGLBo5D9raK0jYtxu_VD7t8-yXfLMLxxbG8dA5yznquFFVgwgu1BnCBC_mLqqEatVszx3V2eaDVXbmUeP3amFQ7cD7FxUGIu3dwZQeoh5K_nEW6LYUnKVIzsiIqNZGR/s320/Nueva+imagen+%25281%2529.png" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-Jk_isEPufXW0dxGLBo5D9raK0jYtxu_VD7t8-yXfLMLxxbG8dA5yznquFFVgwgu1BnCBC_mLqqEatVszx3V2eaDVXbmUeP3amFQ7cD7FxUGIu3dwZQeoh5K_nEW6LYUnKVIzsiIqNZGR/s1600/Nueva+imagen+%25281%2529.png" id="Imagen_x0020_7" o:button="t" o:spid="_x0000_i1025" style="height: 140.25pt; mso-wrap-style: square; visibility: visible; width: 240pt;" type="#_x0000_t75"><imagedata o:title="Nueva+imagen+%25281%2529" src="file:///C:\Users\manuel\AppData\Local\Temp\msohtmlclip1\01\clip_image005.png"></imagedata></shape></span></a></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com6tag:blogger.com,1999:blog-5408792543266108695.post-9642114053504970412011-03-27T13:25:00.001-05:002011-03-27T13:31:12.579-05:00REPRESENTACIÓN GRÁFICA DE CONJUNTOS<div align="right" style="text-align: right;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoXBiYvOCQCYkP6QDOEBZfHTknP0YPUPO0qmHW-Wd8ebB4F6Jk2y9yESHKcy2wIWwXORCqqpKyXSzd9FWc1q3iGI_2z4yfpP5-GPOiNNhUigB1-KVRkb-INvSZ72KEoomMj0Z4bsp-BZQ9/s1600/Nueva+imagen+%25284%2529.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="171" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgoXBiYvOCQCYkP6QDOEBZfHTknP0YPUPO0qmHW-Wd8ebB4F6Jk2y9yESHKcy2wIWwXORCqqpKyXSzd9FWc1q3iGI_2z4yfpP5-GPOiNNhUigB1-KVRkb-INvSZ72KEoomMj0Z4bsp-BZQ9/s400/Nueva+imagen+%25284%2529.png" width="400" /></a></div><div align="right" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: right;"><br />
</div><div align="right" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: right;"><br />
</div><div align="left" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: right;"><br />
</div><div align="right" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; text-align: right;"><br />
</div><div style="text-align: left;"><span lang="ES" style="background: silver; color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;">Los conjuntos se representan mediante diagramas, llamados diagramas de VENN</span><span lang="ES" style="background: silver; color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent3; mso-themeshade: 128;">.</span></div><div style="text-align: justify;"><br />
</div><br />
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<div align="center" class="separator" style="margin: 0cm 0cm 0pt; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCZwvvPI0lNQBFlJhohhwhx8wegw6aggm4u2Wq0AAFm2JJP0r_Y3q9VTDs6NwnCyeoX8Xu6nk8DirWylqjjOPgfyEmYaanNB_JXp9w3tx172y7ayv1ONWUPG2G2EHKKf02AwkR70aDMz1A/s1600/VENN.bmp" imageanchor="1"><span style="color: blue; mso-no-proof: yes; text-decoration: none; text-underline: none;"><shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"><stroke joinstyle="miter"></stroke><formulas><f eqn="if lineDrawn pixelLineWidth 0"></f><f eqn="sum @0 1 0"></f><f eqn="sum 0 0 @1"></f><f eqn="prod @2 1 2"></f><f eqn="prod @3 21600 pixelWidth"></f><f eqn="prod @3 21600 pixelHeight"></f><f eqn="sum @0 0 1"></f><f eqn="prod @6 1 2"></f><f eqn="prod @7 21600 pixelWidth"></f><f eqn="sum @8 21600 0"></f><f eqn="prod @7 21600 pixelHeight"></f><f eqn="sum @10 21600 0"></f></formulas><path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"></path><lock aspectratio="t" v:ext="edit"></lock></shapetype><shape alt="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCZwvvPI0lNQBFlJhohhwhx8wegw6aggm4u2Wq0AAFm2JJP0r_Y3q9VTDs6NwnCyeoX8Xu6nk8DirWylqjjOPgfyEmYaanNB_JXp9w3tx172y7ayv1ONWUPG2G2EHKKf02AwkR70aDMz1A/s400/VENN.bmp" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCZwvvPI0lNQBFlJhohhwhx8wegw6aggm4u2Wq0AAFm2JJP0r_Y3q9VTDs6NwnCyeoX8Xu6nk8DirWylqjjOPgfyEmYaanNB_JXp9w3tx172y7ayv1ONWUPG2G2EHKKf02AwkR70aDMz1A/s1600/VENN.bmp" id="Imagen_x0020_1" o:button="t" o:spid="_x0000_i1025" style="height: 63.75pt; mso-wrap-style: square; visibility: visible; width: 300pt;" type="#_x0000_t75"><imagedata o:title="VENN" src="file:///C:\Users\manuel\AppData\Local\Temp\msohtmlclip1\01\clip_image001.jpg"></imagedata></shape></span></a></div><div class="separator" style="clear: both; text-align: center;"></div><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi452_ajVjPutoUBEAC6SOJtaNUC9eipLR-w5YVH2Ep2uBIyUZChDlHxCgw2-QVWNARjbVRaRSD3ZbjdP7BqZGCUpjhx1YuWlHHc-_WHNFlQ7zxrAu8FVLuLhBsz2dRftvKWIX6mZH7NWag/s1600/VENN.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="85" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi452_ajVjPutoUBEAC6SOJtaNUC9eipLR-w5YVH2Ep2uBIyUZChDlHxCgw2-QVWNARjbVRaRSD3ZbjdP7BqZGCUpjhx1YuWlHHc-_WHNFlQ7zxrAu8FVLuLhBsz2dRftvKWIX6mZH7NWag/s400/VENN.bmp" width="400" /></a></div><br />
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</div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Los diagramas de Venn pueden representarse con cualquier figura geométrica cerrada.</span></div><div style="text-align: justify;"><br />
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</div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com0tag:blogger.com,1999:blog-5408792543266108695.post-1482870402800209172011-03-27T13:13:00.002-05:002011-06-07T07:41:06.371-05:00CLASES DE CONJUNTOS<div style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwU0_sPuVpHbLD9jg084RO-WdcR08hvCW0e5Q6hovdV5aMKo8sTuVeYv22zmbuAtzvNf6DCkxGsJcx2REBJzr8zylDOa3YAWRwVEJ2hEApWyYK7r6Q6v7Jr68xnYdsq6WXO_7CG7zVmIE6/s1600/Nueva+imagen+%25283%2529.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="91" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwU0_sPuVpHbLD9jg084RO-WdcR08hvCW0e5Q6hovdV5aMKo8sTuVeYv22zmbuAtzvNf6DCkxGsJcx2REBJzr8zylDOa3YAWRwVEJ2hEApWyYK7r6Q6v7Jr68xnYdsq6WXO_7CG7zVmIE6/s320/Nueva+imagen+%25283%2529.png" width="320" /></a><span lang="ES" style="color: #c00000; font-family: "Arial", "sans-serif"; font-size: 24pt; line-height: 115%; mso-ansi-language: ES; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><shapetype adj="12000" coordsize="21600,21600" id="_x0000_t172" o:spt="172" path="m0@0l21600,m,21600l21600@1e"><strong> </strong></shapetype></span></div></div><div style="text-align: justify;"><br />
</div><span lang="ES" style="color: #c00000; font-family: "Arial", "sans-serif"; font-size: 24pt; mso-ansi-language: ES;"></span><br />
<div align="right" style="margin-left: 141.6pt; text-align: right;"><span lang="ES" style="background: silver; color: #984806; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;"><span style="font-size: small;">Sea el conjunto de los números naturales (<strong>N</strong>); si quisiéramos determinarlo por extensión nos encontraríamos con un inconveniente, y es que, nunca terminaríamos de hacer la lista de los elementos que lo conforman, porque por muchos elementos que colocáramos, siempre habría otro por agregar.</span></span></div><div style="text-align: justify;"></div><div style="text-align: justify;"><br />
<span style="font-size: large;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Finito:</span></b><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Aquel en que podemos enumerar todos sus elementos.</span></span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; font-size: large; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Los meses del año.</span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div style="text-align: justify;"><span style="font-size: large;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Infinito:</span></b><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Aquel conjunto que no se puede nombrar por extensión ya que no podemos terminar el proceso de enumerar sus elementos.</span></span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; font-size: large; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Las estrellas del universo.</span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div style="text-align: justify;"><span style="font-size: large;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Vacío:</span></b><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Aquel que no contiene elementos. </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Se representa con la letra griega </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Æ</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">, ó </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: ""sans-serif"", "serif"; mso-ansi-language: ES; mso-bidi-font-family: Arial; mso-fareast-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">.</span></span></div><div style="text-align: justify;"><span style="font-family: "Arial", "sans-serif";"><br />
<span style="font-size: large;"> </span></span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; font-size: large; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Ejemplo: Los alumnos del grado sexto con 100 años de edad. </span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div style="text-align: justify;"><span style="font-size: large;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Unitario:</span></b><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Aquel que solamente tiene un elemento. Ejemplo: Los satélites naturales de la tierra. </span></span></div><div style="text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; font-size: large; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> </span></div><div style="text-align: justify;"><span style="font-size: large;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Universal:</span></b><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Aquel que está formado por todos los elementos de una misma especie. También se conoce como conjunto referencial. </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div style="text-align: justify;"><span style="font-size: large;"><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">Se representa con la letra <b style="mso-bidi-font-weight: normal;">U</b>. Ejemplo: <strong><span style="font-family: "Arial", "sans-serif";">U=</span></strong></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-fareast-language: ES; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;"> Las aves</span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ansi-language: ES; mso-ascii-font-family: Arial; mso-bidi-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; font-family: "Arial", "sans-serif"; mso-ansi-language: ES; mso-themecolor: accent3; mso-themeshade: 128;">.</span></span></div><div style="text-align: justify;"><span style="font-size: large;"><br />
</span></div><div align="right"></div>http://www.youtube.com/watch?v=1XOElJti6bwEnrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com0tag:blogger.com,1999:blog-5408792543266108695.post-549837059223403322011-03-27T10:05:00.017-05:002011-06-07T07:25:07.820-05:00LOS CONJUNTOS<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXR96D2DR4ko5EOsaXxsLoegBWvErF9GAuPWtyP-Z1IJzrFAPynR4c8ftUSGSCcoHT5FI_yMGsvGqVRtS2q3lLbGygn11YqngEWvCO3u-QMvfrpDmxG0-RCjScPzAvmgILNhFttNUOrTVy/s1600/Nueva+imagen+%25282%2529.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="103" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXR96D2DR4ko5EOsaXxsLoegBWvErF9GAuPWtyP-Z1IJzrFAPynR4c8ftUSGSCcoHT5FI_yMGsvGqVRtS2q3lLbGygn11YqngEWvCO3u-QMvfrpDmxG0-RCjScPzAvmgILNhFttNUOrTVy/s320/Nueva+imagen+%25282%2529.png" width="320" /></a></div><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">En el estudio de las matemáticas, la palabra conjunto, no se define; se considera un término primitivo, en el lenguaje de la teoría de conjuntos. Sin embargo podemos decir:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div align="right" class="MsoNormal" style="margin: 0cm 0cm 0pt 141.6pt; text-align: right;"><span style="font-family: Arial;"><span lang="ES" style="background: silver; color: #984806; mso-highlight: silver; mso-themecolor: accent6; mso-themeshade: 128;">Conjunto: Es una reunión de objetos de la misma naturaleza que cumplen con una propiedad determinada.<span style="mso-spacerun: yes;"> </span>Cada<span style="mso-spacerun: yes;"> </span>uno<span style="mso-spacerun: yes;"> </span>de los objetos que forman un conjunto<span style="mso-spacerun: yes;"> </span>recibe el nombre de elemento.</span><span lang="ES" style="color: #984806; mso-themecolor: accent6; mso-themeshade: 128;"></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Relaciones de pertenencia y de contenencia.<span style="mso-spacerun: yes;"> </span>Dado un elemento determinado podemos decir<span style="mso-spacerun: yes;"> </span>si pertenece o no a un conjunto.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span><span style="font-family: Arial;"><span lang="ES" style="color: #4f6228; font-size: 14pt; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;">se lee pertenece a<span style="mso-spacerun: yes;"> </span></span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ï</span></span><span style="font-family: Arial;"><span lang="ES" style="color: #4f6228; font-size: 14pt; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;">se lee no pertenece a</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Ejemplo: </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">En los conjuntos </span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span></span></span><br />
<span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">D<span style="mso-spacerun: yes;"> </span>= </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">0, 1, 2, 3, 4, 5, 6, 7, 8, 9</span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý <span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">A = </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">l, m, n, j, v, s, d </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý </span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"></span></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">3 </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Î</span></span><span style="font-family: Arial;"><span lang="ES" style="color: #4f6228; font-size: 14pt; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;">D<span style="mso-spacerun: yes;"> </span>se lee<span style="mso-spacerun: yes;"> </span>tres pertenece a D<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>y<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>p </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; font-size: 14pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ï</span></span><span style="font-family: Arial;"><span lang="ES" style="color: #4f6228; font-size: 14pt; mso-themecolor: accent3; mso-themeshade: 128;"> </span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;">A<span style="mso-spacerun: yes;"> </span>se lee<span style="mso-spacerun: yes;"> </span>p no pertenece a <span style="mso-spacerun: yes;"> </span>A</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="color: #c00000; font-size: 24pt;"><span style="font-family: Arial;">Determinación de conjuntos.</span></span></b></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Los conjuntos se pueden determinar de dos formas:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Por<span style="mso-spacerun: yes;"> </span><b style="mso-bidi-font-weight: normal;">extensión: </b>Cuando se nombran uno a uno todos sus elementos.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Ejemplo:<span style="mso-spacerun: yes;"> </span>V = </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"> a, e, i, o, u </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>D = </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Por <b style="mso-bidi-font-weight: normal;">comprensión: </b>Cuando se escribe la cualidad común de los elementos del conjunto.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;">Ejemplo:<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>V = </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"> x / x es una vocal </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>D = </span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">í</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"><span style="font-family: Arial;"> x / x es un número dígito</span></span><span lang="ES" style="color: #4f6228; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol; mso-themecolor: accent3; mso-themeshade: 128;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">ý</span></span><span lang="ES" style="color: #4f6228; mso-themecolor: accent3; mso-themeshade: 128;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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<a href="http://www.youtube.com/watch?v=1XOElJti6bw">http://www.youtube.com/watch?v=1XOElJti6bw</a> <a href="http://www.youtube.com/watch?v=1XOElJti6bw">VIDEO CONJUNTOS</a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><div class="separator" style="clear: both; text-align: center;"></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"></div></div></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com2tag:blogger.com,1999:blog-5408792543266108695.post-20001813017064404442011-03-24T16:48:00.007-05:002011-04-07T17:03:19.052-05:00LOGICA MATEMÁTICA<div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
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<span style="background-color: #f4cccc; color: #274e13;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="font-size: 18pt;"><shapetype adj="12000" coordsize="21600,21600" id="_x0000_t172" o:spt="172" path="m0@0l21600,m,21600l21600@1e"><formulas><f eqn="val #0"></f><f eqn="sum 21600 0 @0"></f><f eqn="prod #0 1 2"></f><f eqn="sum @2 10800 0"></f><f eqn="prod @1 1 2"></f><f eqn="sum @4 10800 0"></f></formulas><path o:connectangles="270,180,90,0" o:connectlocs="10800,@2;0,@3;10800,@5;21600,@4" o:connecttype="custom" textpathok="t"></path><textpath fitshape="t" on="t"></textpath><handles><h position="topLeft,#0" yrange="0,15429"></h></handles><lock shapetype="t" text="t" v:ext="edit"></lock></shapetype><span style="background-color: #f4cccc; color: #274e13;"></span></span></b></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 0pt;"><br />
<span style="background-color: #f4cccc; color: #274e13;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><span style="background-color: #f4cccc; color: #274e13;"></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-linespan: 3; mso-element-wrap: around; mso-element: dropcap-dropped; mso-height-rule: exactly;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1wjMAKlbYhksuE2M2GUco1-oEI5-ntYL_lvNio8bhjaH4L1wfSayFVyeT8QEU6eLIwMhy335fsxYxo810v-zpZl7d-c49VHftKb_WH2LyXfV77CK3ug-rzmc2eQ5-_pyWYM262ujXy_Cs/s1600/l%25C3%25B3gica.bmp" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="103" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1wjMAKlbYhksuE2M2GUco1-oEI5-ntYL_lvNio8bhjaH4L1wfSayFVyeT8QEU6eLIwMhy335fsxYxo810v-zpZl7d-c49VHftKb_WH2LyXfV77CK3ug-rzmc2eQ5-_pyWYM262ujXy_Cs/s200/l%25C3%25B3gica.bmp" width="200" /></a> <table align="left" cellpadding="0" cellspacing="0" hspace="0" vspace="0"><tbody>
<tr><td align="left" style="background-color: transparent; border-bottom: #f0f0f0; border-left: #f0f0f0; border-right: #f0f0f0; border-top: #f0f0f0; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm;" valign="top"><div class="MsoNormal" style="line-height: 41.35pt; margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-linespan: 3; mso-element-wrap: around; mso-element: dropcap-dropped; mso-height-rule: exactly; mso-line-height-rule: exactly; page-break-after: avoid; vertical-align: baseline;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES" style="font-size: 52pt; mso-bidi-font-size: 12.0pt; mso-text-raise: -5.5pt; mso-themecolor: accent3;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">P</span></span></div></div></td></tr>
</tbody></table><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">roposiciones.<span style="mso-spacerun: yes;"> </span></span></span><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Una proposición es una oración en la que afirmamos o negamos algo y tiene un valor de verdad único. Puede ser presentada como oración gramatical o por medio de una expresión matemática. </span></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-linespan: 3; mso-element-wrap: around; mso-element: dropcap-dropped; mso-height-rule: exactly;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"> Para representar proposiciones se usan letras </span></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-linespan: 3; mso-element-wrap: around; mso-element: dropcap-dropped; mso-height-rule: exactly;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"> minúsculas como <i style="mso-bidi-font-style: normal;">p, q, r,<span style="mso-spacerun: yes;"> </span></i>entre otras. </span></span></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 0pt; text-align: justify;"><span style="background-color: #f4cccc;"><span style="color: #274e13;"><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"></span></span></span><shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"></shapetype></span></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"> </div></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhn4ZKR5nbr_Vnhlgjf2UQLrj1o0hJqTaxAGWHTmVkvbZvTtZWSVQDxgmNjbnWkFHjaNqm-A2ha4FXWUsaRFRMYUwDL61SiO2VThNayMFNqR5HcRmQ8ZieDuZacpVb8lUn3cXC3nicVORN7/s1600/flor.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhn4ZKR5nbr_Vnhlgjf2UQLrj1o0hJqTaxAGWHTmVkvbZvTtZWSVQDxgmNjbnWkFHjaNqm-A2ha4FXWUsaRFRMYUwDL61SiO2VThNayMFNqR5HcRmQ8ZieDuZacpVb8lUn3cXC3nicVORN7/s1600/flor.bmp" /></a></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm -11.7pt 0pt 0cm; text-align: justify;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial;"><span style="background-color: #f4cccc;"><span style="color: #274e13;"><i style="mso-bidi-font-style: normal;"><span lang="ES">P: </span></i><span lang="ES">La rosa es una flor.<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><i style="mso-bidi-font-style: normal;">q: </i>9 + 7 = 16 <span style="mso-spacerun: yes;"> </span><i style="mso-bidi-font-style: normal;">r:</i> El número 13 es primo e impar.</span></span></span></span></div></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
<span style="background-color: #f4cccc; color: #274e13;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">En las anteriores expresiones las 2 primeras<span style="mso-spacerun: yes;"> </span><i style="mso-bidi-font-style: normal;">p</i><span style="mso-spacerun: yes;"> </span>y <i style="mso-bidi-font-style: normal;">q </i><span style="mso-spacerun: yes;"> </span>son proposiciones simples porque no se pueden descomponer en expresiones que a su vez sean proposiciones. La 3<span style="mso-spacerun: yes;"> </span><i style="mso-bidi-font-style: normal;">r</i><span style="mso-spacerun: yes;"> </span>no es proposición simple porque se puede descomponer en:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
<span style="background-color: #f4cccc; color: #274e13;"></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">El número 13 es primo<span style="mso-spacerun: yes;"> </span>y<span style="mso-spacerun: yes;"> </span>El número 13 es impar. Estas dos son a su vez proposiciones.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><span style="background-color: #f4cccc; color: #274e13;"></span><br />
<div class="MsoNormal" style="margin: 0cm -25.9pt 0pt 0cm;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Proposiciones compuestas. Una<span style="mso-spacerun: yes;"> </span>proposición compuesta<span style="mso-spacerun: yes;"> </span>es<span style="mso-spacerun: yes;"> </span>aquella<span style="mso-spacerun: yes;"> </span>que está<span style="mso-spacerun: yes;"> </span>formada<span style="mso-spacerun: yes;"> </span>por dos o más proposiciones simples, relacionadas a través de partículas de<span style="mso-spacerun: yes;"> </span>enlace,<span style="mso-spacerun: yes;"> </span>llamadas<span style="mso-spacerun: yes;"> </span>conectivos<span style="mso-spacerun: yes;"> </span>o<span style="mso-spacerun: yes;"> </span>enlaces lógicos.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
<span style="background-color: #f4cccc; color: #274e13;"></span></div><br />
<span style="background-color: #f4cccc; color: #274e13;"></span><br />
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480; width: 633px;"><tbody>
<tr style="height: 17.3pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 3pt solid; border-right: windowtext 3pt solid; border-top: windowtext 3pt solid; height: 17.3pt; mso-border-alt: solid windowtext 3.0pt; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Conectivo</span></span></b></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: windowtext 3pt solid; height: 17.3pt; mso-border-alt: solid windowtext 3.0pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext 3.0pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Nombre lógico</span></span></b></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: windowtext 3pt solid; height: 17.3pt; mso-border-alt: solid windowtext 3.0pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext 3.0pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Símbolo</span></span></b></div></td></tr>
<tr style="height: 20.5pt; mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 3pt solid; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.5pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">No….</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.5pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Negación</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.5pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-family: Symbol; font-size: 16pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-highlight: silver; mso-symbol-font-family: Symbol;"><span style="background-color: #f4cccc; color: #274e13; mso-char-type: symbol; mso-symbol-font-family: Symbol;">~</span></span><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-size: 16pt; mso-highlight: silver;"></span></div></td></tr>
<tr style="height: 22.3pt; mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 3pt solid; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 22.3pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">…y…</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 22.3pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Conjunción</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 22.3pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-family: Symbol; font-size: 16pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-highlight: silver; mso-symbol-font-family: Symbol;"><span style="background-color: #f4cccc; color: #274e13; mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ù</span></span><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-size: 16pt; mso-highlight: silver;"></span></div></td></tr>
<tr style="height: 17pt; mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 3pt solid; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 17pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">…o…</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 17pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Disyunción</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 17pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-family: Symbol; font-size: 16pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-highlight: silver; mso-symbol-font-family: Symbol;"><span style="background-color: #f4cccc; color: #274e13; mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ú</span></span><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-size: 16pt; mso-highlight: silver;"></span></div></td></tr>
<tr style="height: 20.2pt; mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 3pt solid; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.2pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Si…,entonces…</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.2pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Implicación o condicional</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.2pt; mso-border-bottom-alt: .5pt; mso-border-color-alt: windowtext; mso-border-left-alt: 3.0pt; mso-border-right-alt: 3.0pt; mso-border-style-alt: solid; mso-border-top-alt: .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-highlight: silver; mso-symbol-font-family: Symbol;"><span style="background-color: #f4cccc; color: #274e13; mso-char-type: symbol; mso-symbol-font-family: Symbol;">Þ</span></span><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"></span></div></td></tr>
<tr style="height: 20.85pt; mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: windowtext 3pt solid; border-left: windowtext 3pt solid; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.85pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">…si y solo si…</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 3pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.85pt; mso-border-left-alt: solid windowtext 3.0pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Doble implicación o bi-condicional</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 3pt solid; border-left: #f0f0f0; border-right: windowtext 3pt solid; border-top: #f0f0f0; height: 20.85pt; mso-border-left-alt: solid windowtext 3.0pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-highlight: silver; mso-symbol-font-family: Symbol;"><span style="background-color: #f4cccc; color: #274e13; mso-char-type: symbol; mso-symbol-font-family: Symbol;">Û</span></span><span lang="ES" style="background-attachment: scroll; background-image: none; background-position: 0% 0%; background-repeat: repeat; mso-highlight: silver;"></span></div></td></tr>
</tbody></table><br />
<span style="background-color: #f4cccc; color: #274e13;"></span><br />
<div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES" style="font-size: 10pt;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Los puntos suspensivos indican que allí van proposiciones simples.</span></span></b><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><span style="background-color: #f4cccc; color: #274e13;"></span><br />
<table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; margin: auto 4.8pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: page; mso-table-anchor-vertical: paragraph; mso-table-left: 397.65pt; mso-table-lspace: 7.05pt; mso-table-rspace: 7.05pt; mso-table-top: 3.1pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="height: 14.1pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 14.1pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">p</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 14.1pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">q</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 14.1pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="background-color: #f4cccc;"><span style="color: #274e13;"><span style="font-family: Arial;"><i style="mso-bidi-font-style: normal;"><span lang="ES">p</span></i><span lang="ES"> </span></span><span lang="ES" style="font-family: Symbol; font-size: 16pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ù</span></span><span style="font-family: Arial;"><span lang="ES" style="font-size: 16pt;"> </span><i style="mso-bidi-font-style: normal;"><span lang="ES">q</span></i></span></span></span></div></td></tr>
<tr style="height: 13.25pt; mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 13.25pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 13.25pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 13.25pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 14.1pt; mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 14.1pt; mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 14.1pt; mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 14.1pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 50pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 5pt; mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td colspan="3" style="background-color: transparent; border-bottom: #f0f0f0; border-left: #f0f0f0; border-right: #f0f0f0; border-top: #f0f0f0; height: 5pt; mso-border-top-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 150pt;" valign="top" width="200"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 397.7pt; mso-element-top: 3.1pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br />
<span style="background-color: #f4cccc; color: #274e13;"></span></div></td></tr>
</tbody></table><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">Proposición compuesta <strong>conjunción.</strong> </span><br />
<br />
<span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">Esta proposición compuesta es verdadera solo </span><br />
<span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">cuando las 2 proposiciones simples son verdaderas.</span><br />
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<span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"> </span></span></div><span style="background-color: #f4cccc; color: #274e13;"></span><br />
<table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; margin: auto 4.8pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: page; mso-table-anchor-vertical: paragraph; mso-table-left: 379.65pt; mso-table-lspace: 7.05pt; mso-table-rspace: 7.05pt; mso-table-top: 8.5pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="height: 11.7pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">p</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">q</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="background-color: #f4cccc;"><span style="color: #274e13;"><span style="font-family: Arial;"><i style="mso-bidi-font-style: normal;"><span lang="ES">p</span></i><span lang="ES"> </span></span><span lang="ES" style="font-family: Symbol; font-size: 16pt; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ú</span></span><span style="font-family: Arial;"><span lang="ES" style="font-size: 16pt;"> </span><i style="mso-bidi-font-style: normal;"><span lang="ES">q</span></i></span></span></span></div></td></tr>
<tr style="height: 11pt; mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 5pt; mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td colspan="3" style="background-color: transparent; border-bottom: #f0f0f0; border-left: #f0f0f0; border-right: #f0f0f0; border-top: #f0f0f0; height: 5pt; mso-border-top-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 149.7pt;" valign="top" width="200"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 379.7pt; mso-element-top: 8.5pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly;"><br />
<span style="background-color: #f4cccc; color: #274e13;"></span></div></td></tr>
</tbody></table><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Proposición compuesta <strong>disyunción.</strong></span></span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"></span> </div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Esta proposición compuesta es falsa cuando las 2 proposiciones simples son falsas.</span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"></span></span> </div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"></span></span> </div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"></span></span> </div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;"></span></span> </div><span style="background-color: #f4cccc; color: #274e13;"></span><br />
<table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; margin: auto 4.8pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: page; mso-table-anchor-vertical: paragraph; mso-table-left: 365.85pt; mso-table-lspace: 7.05pt; mso-table-rspace: 7.05pt; mso-table-top: 4.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="height: 11.7pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">p</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">q</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="background-color: #f4cccc;"><span style="color: #274e13;"><span style="font-family: Arial;"><i style="mso-bidi-font-style: normal;"><span lang="ES">p</span></i><span lang="ES"> </span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Þ</span></span><span style="font-family: Arial;"><span lang="ES" style="font-size: 16pt;"> </span><i style="mso-bidi-font-style: normal;"><span lang="ES">q</span></i></span></span></span></div></td></tr>
<tr style="height: 11pt; mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 4; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 365.9pt; mso-element-top: 4.4pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
</tbody></table><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span lang="ES"><span style="mso-spacerun: yes;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Proposición compuesta <strong>implicación.</strong></span></span></span><br />
<br />
<span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">Esta proposición compuesta es falsa solo cuando la primera proposición simple es verdadera y la segunda es falsa.</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><span style="background-color: #f4cccc; color: #274e13;"></span><br />
<table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; margin: auto 4.8pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: page; mso-table-anchor-vertical: paragraph; mso-table-left: 367.65pt; mso-table-lspace: 7.05pt; mso-table-rspace: 7.05pt; mso-table-top: 1.45pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="height: 11.7pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">p</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">q</span></span></i></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: red 2.25pt solid; height: 11.7pt; mso-border-alt: solid red 2.25pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid red 2.25pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="background-color: #f4cccc;"><span style="color: #274e13;"><i style="mso-bidi-font-style: normal;"><span lang="ES"><span style="font-family: Arial;">p </span></span></i><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Û</span></span><span lang="ES"><span style="font-family: Arial;"> <i style="mso-bidi-font-style: normal;">q</i></span></span></span></span></div></td></tr>
<tr style="height: 11pt; mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-bottom-alt: windowtext .5pt; mso-border-left-alt: red 2.25pt; mso-border-right-alt: red 2.25pt; mso-border-style-alt: solid; mso-border-top-alt: windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td></tr>
<tr style="height: 11.7pt; mso-yfti-irow: 4; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: red 2.25pt solid; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">F</span></span></div></td><td style="background-color: transparent; border-bottom: red 2.25pt solid; border-left: #f0f0f0; border-right: red 2.25pt solid; border-top: #f0f0f0; height: 11.7pt; mso-border-left-alt: solid red 2.25pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 49.9pt;" valign="top" width="67"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-element-anchor-horizontal: page; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: 367.7pt; mso-element-top: 1.45pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span lang="ES"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial;">V</span></span></div></td></tr>
</tbody></table><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">Proposición compuesta <strong>bi-condicional.</strong></span><br />
<br />
<span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">Esta proposición compuesta es verdadera si las </span><br />
<span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">2 proposiciones simples son verdaderas, o si las </span><br />
<span style="background-color: #f4cccc; color: #274e13; font-family: Arial, Helvetica, sans-serif;">2 proposiciones simples son falsas</span></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 0pt; text-align: justify;"> </div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><span style="background-color: #f4cccc; color: #274e13;"></span><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2qkwFfLLHVo7VW4THclCuhDJUJHA2_0lDj0pvmj3ZXuDQlGdp38AxVoMmsGumtYFl9Zb68vav2n1XrtgUvMH8pqsGMk6dJgxt32ah7iH4tOm7xmcRfo_ZHfQRDgXggRQLjFQ00NFEqE_H/s1600/Nueva+imagen.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" r6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2qkwFfLLHVo7VW4THclCuhDJUJHA2_0lDj0pvmj3ZXuDQlGdp38AxVoMmsGumtYFl9Zb68vav2n1XrtgUvMH8pqsGMk6dJgxt32ah7iH4tOm7xmcRfo_ZHfQRDgXggRQLjFQ00NFEqE_H/s1600/Nueva+imagen.png" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
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</div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com2tag:blogger.com,1999:blog-5408792543266108695.post-58697602760608686942011-03-14T16:06:00.002-05:002011-03-14T16:28:38.168-05:00CONJUNTOS<span style="color: magenta; font-family: "Trebuchet MS", sans-serif; font-size: large;">CLASES DE CONJUNTOS:</span><br />
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<ul><li><span style="color: #0b5394;">Referencial:</span> <em> Aquel del cual se pueden optener otros conjuntos</em></li>
<li><span style="color: #0b5394;">Finito:</span> <em>Se pueden nombar por extención</em></li>
<li><span style="color: #0b5394;">Infinito:</span> <em>Sus elementos no terminan y por lo tanto no se pueden nombrar por extensión</em></li>
<li><span style="color: #0b5394;">Unitario:</span> <em>Tiene un solo elemento</em></li>
<li><span style="color: #0b5394;">Vacío:</span> <em>No presenta ningun elemento</em></li>
</ul><span style="color: magenta; font-size: large;">DIAGRAMAS DE VENN</span><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="http://www.blogodisea.com/wp-content/uploads/2011/02/Diagramas-de-Venn.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="227" q6="true" src="http://www.blogodisea.com/wp-content/uploads/2011/02/Diagramas-de-Venn.gif" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br />
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<div class="separator" style="clear: both; text-align: center;"><span style="color: red; font-size: large;"><strong>PROYECTO LÚDICO</strong></span></div><div class="separator" style="clear: both; text-align: center;"><br />
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</div><div class="separator" style="clear: both; text-align: center;"><span style="color: lime; font-size: x-large;"><strong>EL TANGRAM</strong></span></div><div class="separator" style="clear: both; text-align: center;"><br />
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<div><div style="text-align: center;"><embed align="middle" flashvars="cy=bb&il=1&channel=1513209474824088203&site=widget-8b.slide.com" name="flashticker" quality="high" salign="l" scale="noscale" src="http://widget-8b.slide.com/widgets/slideticker.swf" style="height: 320px; width: 400px;" type="application/x-shockwave-flash" wmode="transparent"></div></embed><div style="text-align: left; width: 400px;"><a href="http://www.slide.com/pivot?cy=bb&at=un&id=1513209474824088203&map=1" target="_blank"><img border="0" ismap="ismap" src="http://widget-8b.slide.com/p1/1513209474824088203/bb_t063_v000_s0un_f00/images/xslide1.gif" /></a> <a href="http://www.slide.com/pivot?cy=bb&at=un&id=1513209474824088203&map=2" target="_blank"><img border="0" ismap="ismap" src="http://widget-8b.slide.com/p2/1513209474824088203/bb_t063_v000_s0un_f00/images/xslide2.gif" /></a> <a href="http://www.slide.com/pivot?cy=bb&at=un&id=1513209474824088203&map=F" target="_blank"><img border="0" ismap="ismap" src="http://widget-8b.slide.com/p4/1513209474824088203/bb_t063_v000_s0un_f00/images/xslide42.gif" /></a></div></div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com2tag:blogger.com,1999:blog-5408792543266108695.post-25968144327886417812011-03-14T15:24:00.001-05:002011-03-14T16:15:51.918-05:00PASOS PARA RESOLVER UN PROBLEMA ARITMÉTICO<div style="text-align: center;"><span style="color: purple; font-family: "Trebuchet MS", sans-serif; font-size: large;"><strong>GRADO SEXTO</strong></span></div><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left;"><span lang="ES"><span style="font-family: Arial;"><span style="color: #351c75;">PASOS PARA RESOLVER UN PROBLEMA:</span> <b style="mso-bidi-font-weight: normal;">______________________________________</b></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><line from="0,1.45pt" id="_x0000_s1026" style="left: 0px; position: absolute; text-align: left; z-index: 251608576;" to="0,246.6pt"><span style="font-family: Arial;"></span></line><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span><em>Leer todo el problema con atención para comprender lo que se pregunta.<span style="mso-spacerun: yes;"> </span></em></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Releer el problema, pero parte por parte, sacando una tabla de datos incluyendo la<span style="mso-spacerun: yes;"> </span></span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;"><em><span style="mso-spacerun: yes;"> </span>pregunta o preguntas.</em></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Hacer un dibujo, esquema o diagrama que nos represente el problema.</span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Identificar en que parte de las matemáticas estamos y a que tema se refiere el problema.</span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"><em> </em></span></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Plantear una ecuación ó formula que nos permita dar solución a la pregunta ó preguntas.</span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Hacer las conversiones que sean necesarias.</span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Reemplazar datos en la ecuación y resolver operaciones.</span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><em><span lang="ES"><span style="mso-spacerun: yes;"><span style="font-family: Arial;"> </span></span></span><span lang="ES" style="font-family: Symbol; mso-ascii-font-family: Arial; mso-char-type: symbol; mso-hansi-font-family: Arial; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">·</span></span><span lang="ES"><span style="font-family: Arial;"><span style="mso-spacerun: yes;"> </span>Elaborar las conclusiones, partiendo<span style="mso-spacerun: yes;"> </span>con la contestación a las preguntas y explicando el </span></span></em></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;"><em><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>proceso seguido para lograrlo.</em></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">PROBLEMAS:</span></span></div><br />
<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">En un restaurante una hamburguesa y un vaso de gaseosa cuestan $ 7.500.<span style="mso-spacerun: yes;"> </span>En el mismo restaurante una hamburguesa con dos vasos de gaseosa cuestan<span style="mso-spacerun: yes;"> </span>$ 8.300.<span style="mso-spacerun: yes;"> </span>¿Cuánto cuesta una gaseosa? ¿Cuánto cuesta una hamburguesa?</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">TABLA DE DATOS:</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Valor hamburguesa y<span style="mso-spacerun: yes;"> </span>1 gaseosa<span style="mso-spacerun: yes;"> </span>$7.500</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Valor hamburguesa y<span style="mso-spacerun: yes;"> </span>2 gaseosas<span style="mso-spacerun: yes;"> </span>$8.300</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">¿Cuál es el valor<span style="mso-spacerun: yes;"> </span>de una gaseosa?</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">¿Cuál es el valor de una<span style="mso-spacerun: yes;"> </span>hamburguesa?</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgla1QDVb564LwYH-QBnnBzgtGLNlXzUEDNBTrwz2WBhKH4Rb_oqDI8nFpCT6KFglqj4kyY_XIy2r7H8cbgTTN6cslEXGY36WyowWVBD_mjJgJxPwxmWy-b52cz726ey1gvpnK-txgpYaZB/s1600/Vasos+%252B+Hamburguesas.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="166" q6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgla1QDVb564LwYH-QBnnBzgtGLNlXzUEDNBTrwz2WBhKH4Rb_oqDI8nFpCT6KFglqj4kyY_XIy2r7H8cbgTTN6cslEXGY36WyowWVBD_mjJgJxPwxmWy-b52cz726ey1gvpnK-txgpYaZB/s320/Vasos+%252B+Hamburguesas.bmp" width="320" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">El problema pertenece a operaciones con números naturales. En este caso suma y resta.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Valor de 1 gaseosa = Valor de 1 hamburg. y 2 gaseos. – Valor de 1 hamburg.<span style="mso-spacerun: yes;"> </span>y 1 gaseosa.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Valor de 1 hamburguesa = Valor de 1 hamburg.<span style="mso-spacerun: yes;"> </span>y 1 gaseosa<span style="mso-spacerun: yes;"> </span>–<span style="mso-spacerun: yes;"> </span>Valor de 1 gaseosa.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">En este caso específico no hay que hacer conversiones.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtwbwJV3x1hI8pxcxlBF0J1mqqdmBAbM6i3F-XgjMAVYu3-D9NAqhfX_20Qh1sUT-7LeMX1pv_Gf2AafeCU7J0x5fGZ49MxF7psogTYh1YTwod2wXsbTYFjgWgNt2Cbqt6GCfzzb_8gre2/s1600/OPERACIONES.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" q6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtwbwJV3x1hI8pxcxlBF0J1mqqdmBAbM6i3F-XgjMAVYu3-D9NAqhfX_20Qh1sUT-7LeMX1pv_Gf2AafeCU7J0x5fGZ49MxF7psogTYh1YTwod2wXsbTYFjgWgNt2Cbqt6GCfzzb_8gre2/s640/OPERACIONES.bmp" width="640" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">CONCLUSIONES:<span style="mso-spacerun: yes;"> </span></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">El valor de una gaseosa es de $ 800 que fue el resultado de restarle al valor de 1 hamburg. y 2 gaseosas<span style="mso-spacerun: yes;"> </span>de $ 8300 el valor de 1 hamburg.<span style="mso-spacerun: yes;"> </span>y 1 gaseosa de $ 7.500 y el valor de una hamburguesa es de<span style="mso-spacerun: yes;"> </span>$ 6.700 que fue el resultado de restarle al valor de una hamburguesa y una gaseosa de<span style="mso-spacerun: yes;"> </span>$ 7.500 el valor de una gaseosa de<span style="mso-spacerun: yes;"> </span>$ 800.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES"><span style="font-family: Arial;">Finalmente estos valores quedan comprobados al sumar el valor de una hamburguesa con el valor de dos gaseosas.<span style="mso-spacerun: yes;"> </span></span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
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</div><div class="separator" style="clear: both; text-align: left;"><span style="font-size: large;">¿Te aprendiste los 8 pasos?</span></div><div class="separator" style="clear: both; text-align: left;"><br />
</div><div class="separator" style="clear: both; text-align: left;"><span style="color: red; font-size: x-large;"><strong>FELICITACIONES</strong></span></div><div class="separator" style="clear: both; text-align: center;"><br />
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</div>Enrique Riverahttp://www.blogger.com/profile/11875768938905919339noreply@blogger.com1