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
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...
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.
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(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}.
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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