问题 选择题

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}

答案

∵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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