Question

求助一道高中数学题

设A={x∈Z||x|<6},B={1,2,3},C={3,4,5,6}，求A∪(B∩C)？

Answer 1

A={x∈Z||x|<6},B={1,2,3},C={3,4,5,6}，求A∪(B∩C)

B∩C={3}
A={x∈Z||x|<6}={-5,-4,-3,-2,-1,0,1,2,3,4,5}
A∪(B∩C)=A={x∈Z||x|<6}={-5,-4,-3,-2,-1,0,1,2,3,4,5}

Answer 2

{-5,-4,-3,-2,-1,0,1,2,3,4,5,}

Answer 3

首先，-6<x<6，即A的元素为-5，-4，-3，-2，-1,0,1,2,3,4,5,
B交C于3 ，所以说A∪（B∩C)=A