已知全集I={小于10的正整数},其子集A,B满足CIA∩CIB={1,9},A∩B={2},CIA∩B={4,6,8},求集合A,B.
问题描述:
已知全集I={小于10的正整数},其子集A,B满足CIA∩CIB={1,9},A∩B={2},CIA∩B={4,6,8},求集合A,B.
答
I={小于10的正整数}={1,2,3,4,5,6,7,8,9},由题意,如图所示
故集合A={2,3,5,7},集合B={2,4,6,8}