问题 解答题

已知全集U={1,2,3,4,5,6,7,8,9,10},集合A={1,3,5,8,9},B={2,5,6,8,10},

(1)求A∪B,(CUA)∩(CUB);

(2)若定义集合的“差”:A-B={x|x∈A,且x∉B},求集合A-B.

答案

(1)因为全集U={1,2,3,4,5,6,7,8,9,10},集合A={1,3,5,8,9},B={2,5,6,8,10},

所以A∪B={1,2,3,5,6,8,9,10},

CUA={2,4,6,7,10},CUB={1,3,4,7,9}.

(CUA)∩(CUB)={2,4,6,7,10}∩{1,3,4,7,9}={4,7};

(2)集合的“差”:A-B={x|x∈A,且x∉B},

所以集合A={1,3,5,8,9},B={2,5,6,8,10},

集合A-B={1,3,9}.

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