已知全集为U,A={1,3,6,7},CUA={2,4,5,8,9},CUB={4,6,9}.
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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).
求:
(1)全集U;
(2)集合B;
(3)CU(A∩B).
(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}.
∴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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