问题 解答题

已知全集为U,A={1,3,6,7},CUA={2,4,5,8,9},CUB={4,6,9}.

求:

(1)全集U;

(2)集合B;

(3)CU(A∩B).

答案

(1)∵A={1,3,6,7},CUA={2,4,5,8,9},A∪CUA=U

∴U={1,2,3,4,5,6,7,8,9}

(2)∵U={1,2,3,4,5,6,7,8,9},CUB={4,6,9}.

∴B={1,2,3,5,7,8}

(3)∵A={1,3,6,7},B={1,2,3,5,7,8}

∴A∩B={1,3,7}

而U={1,2,3,4,5,6,7,8,9},

∴CU(A∩B)={2,4,5,6,8,9}.

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