问题 选择题

设集合A={x|x∈Z且-10≤x≤-1},B={x|x∈Z且|3x+2|≤5},则A∪B中元素的个数是(  )

A.11

B.12

C.13

D.14

答案

∵集合A={x|x∈Z且-10≤x≤-1}={-10,-9,-8,-7,-6,-5,-4,-3,-2,-1},B={x|x∈Z且|3x+2|≤5}={x|-

7
3
≤x≤1,x∈Z}={-2,-1,0,1},

∴A∪B={}={-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1}

故∪B中元素的个数是12.

故选:B.

单项选择题
单项选择题