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已知全集U=A∪B={x∈N|0≤x≤10},A∩(CUB)={1,3,5,7},则集合B=(  )
A. {0,2,4,6,8,10}
B. {0,2,4,6,8,9,10}
C. {2,4,6,8,9,10}
D. {2,4,6,8,10}
人气:346 ℃ 时间:2020-05-25 09:55:39
解答
∵全集U=A∪B={x∈N|0≤x≤10}={0,1,2,3,4,5,6,7,8,9,10},
∴(A∩(CUB))∩B=φ,(A∩(CUB))∪B=U,
故B=CU(A∩(CUB))
又∵A∩(CUB)={1,3,5,7},
∴B={0,2,4,6,8,9,10}
故选B
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