设A={x|x是小于9的正整数},B={1,2,3},C={3,4,5,6},求A∩B,A∩C,A∩(B∪C),A∪(B∩C).-高一数学

题目简介

设A={x|x是小于9的正整数},B={1,2,3},C={3,4,5,6},求A∩B,A∩C,A∩(B∪C),A∪(B∩C).-高一数学

题目详情

设A={x|x是小于9的正整数},B={1,2,3},C={3,4,5,6},求A∩B,A∩C,A∩(B∪C),A∪(B∩C).
题型:解答题难度:中档来源:甘肃省月考题

答案

 
解:A={x|x是小于9的正整数}={1,2,3,4,5,6,7,8},
又B={1,2,3},C={3,4,5,6},
∴A∩B={1,2,3},
A∩C={3,4,5,6},
B∪C={1,2,3,4,5,6},
A∩(B∪C)={1,2,3,4,5,6},
A∪(B∩C)={1,2,3,4,5,6,7,8}.

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