Question

已知集合A={x∈R|3x+2＞0﹜，B={x∈R|（x+1）（x-3）＞0﹜则A∩B=______．

Answer 1

∵A={x∈R|3x+2＞0﹜={x|x＞-

2

3

}，B={x∈R|（x+1）（x-3）＞0﹜={x|x＜-1或x＞3}，
∴A∩B={x|x＞-

2

3

}∩{x|x＜-1或x＞3}={x|x＞3}．
故答案为（3，+∞）．