已知全集I={-4,-3,-2,-1,0,1,2,3,4},集合A={-3,a2,a+1},B={a-3,2a-1,a2+1},其中a∈R,若A∩B=-3,求CI(A∪B).
问题描述:
已知全集I={-4,-3,-2,-1,0,1,2,3,4},集合A={-3,a2,a+1},B={a-3,2a-1,a2+1},其中a∈R,若A∩B=-3,求CI(A∪B).
答
∵A∩B={-3}∴-3∈B当a-3=-3时,即a=0此时A={-3,0,1};B={-3,-1,1};A∩B={-3,1}不满足题意当2a-1=-3解得a=-1此时A={-3,1,0};B={-4,-3,2};A∩B={-3}合题意此时A∪B={-4,-3,0,1,2}∴CI(A∪B)={-2,-...