Question

已知集合A={x||2x+1|＞3},B={x|x²+x-6≤0},则A∩B等于(   )

A.{x|-3<x≤-2或x＞1}

B.{x|-3<x≤-2或1≤x＜2}

C.{x|-3≤x＜-2或1<x≤2}

D.{x|x≤-3或1＜x≤2}

Answer 1

C

解析:A={x||2x+1|>3}={x|2x+1＞3或2x+1＜-3}={x|x＞1或x＜-2},

B={x|x²+x-6≤0}={x|-3≤x≤2}(如下图).