题目内容
已知全集U={1,2,3,4,5,6,7},集合A={2,4,5},B={1,3,5,7},求:
(1)A∪(?UB);
(2)?U(A∩B).
(1)A∪(?UB);
(2)?U(A∩B).
(1)∵U={1,2,3,4,5,6,7},
集合A={2,4,5},B={1,3,5,7},
∴?UB={2,4,6},
∴A∪(?UB)={2,4,5,6}.
(2)∵U={1,2,3,4,5,6,7},
集合A={2,4,5},B={1,3,5,7},
∴A∩B={5},
∴?U(A∩B)={1,2,3,4,6,7}.
集合A={2,4,5},B={1,3,5,7},
∴?UB={2,4,6},
∴A∪(?UB)={2,4,5,6}.
(2)∵U={1,2,3,4,5,6,7},
集合A={2,4,5},B={1,3,5,7},
∴A∩B={5},
∴?U(A∩B)={1,2,3,4,6,7}.
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