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设全集U={x|x∈N,且0<z≤10),A={1,2,4,5,9),B={4,6,7,8,10},C={3,5,(1) 求:(1)(A ∩B)∪C;(2)(UC.

  • A、*
答 参考答案
A
文字解析
解:全集U={x|x∈N,且0<x≤10)={1,2,3,4,5,6,7,8,9,10};
A={1,2,4,5,9},则UA={3,6,7,8,10};
B={4,6,7,8,10),则UB ={1,2,3,5,9};
C={3,5,7),则UC= {1,2,4,6,8,9,10}.
(1)由A∩B={4),可得(A∩B)∪C={4)∪{3,5,7}=(3,4,5,7};
(2)由UA ∩ UB ={3},
可得(UA n UB)∪ UC={3}∪{1,2,4,6,8,9,10}={1,2,3,4,6,8,9,10).
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