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Operaciones entre conjuntos

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Operaciones entre conjuntos

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About this activity

Responde cada pregunta seleccionando la opción correcta. Aplica los conceptos de unión, intersección, diferencia, complemento y cardinalidad. Si te equivocas, revisa la explicación para aprender.

Created by

Sofia Chicaiza
Sofia Chicaiza
Ecuador

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Operaciones entre conjuntos
 

Operaciones entre conjuntosOnline version

Responde cada pregunta seleccionando la opción correcta. Aplica los conceptos de unión, intersección, diferencia, complemento y cardinalidad. Si te equivocas, revisa la explicación para aprender.

by Sofia Chicaiza
1

¿Cuál es A ∪ B ∪ C? A = {1, 3, 5, 7} B = {3, 4, 5, 8} C = {2, 3, 6, 7}

2

¿Cuál es A ∩ B ∩ C? A = {1, 3, 5, 7} B = {3, 4, 5, 8} C = {2, 3, 6, 7}

3

¿Cuál es A − B? A = {1, 3, 5, 7} B = {3, 4, 5, 8} C = {2, 3, 6, 7}

4

¿Cuál es C ∩ D? C = {2, 4, 6, 8} D = {4, 5, 6, 9}

5

¿Cuántos estudiantes leen solo A? A = 35 B = 25 A ∩ B = 15

Explicación

La unión consiste en juntar todos los elementos de los conjuntos sin repetir. Debes tomar los números de A, B y C y escribirlos una sola vez. Por eso aparecen todos los números del 1 al 8.

La intersección son los elementos que están en todos los conjuntos al mismo tiempo. El único número que aparece en A, B y C es el 3, por eso esa es la respuesta.

La diferencia significa tomar los elementos que están en A pero no en B. Quitamos de A los que se repiten en B (3 y 5), y quedan 1 y 7.

Busca los números que están en ambos conjuntos. Los únicos que se repiten en C y D son 4 y 6.

Para saber los que leen solo A, debes restar los que leen ambas: 35 − 15 = 20 Porque los 15 ya están contados en ambos conjuntos.

 
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