已知全集U={1,2,3,4,5,6,7,8,9},A、B是U的子集,同时满足A∩B={2},(CuA)∩B={1,9},(CuA)∩(Cub)={4,6,8},求A,B
问题描述:
已知全集U={1,2,3,4,5,6,7,8,9},A、B是U的子集,同时满足A∩B={2},(CuA)∩B={1,9},(CuA)∩(Cub)={4,6,8},求A,B
答
A={2,3,5,7} B={1,2,9}∵A∩B={2}∴2属于A,2属于B∵(CuA)∩B={1,9}∴1和9属于CuA,即不属于A;1和9属于B∵(CuA)∩(Cub)={4,6,8},∴4,6,8属于CuA和CuB∴4,6,8不属于A和B对于在三个条件中都没遇到的3个元素:3,5,7...