题目内容

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

(1)求A,B,A∩B,A∪B;

(2)验证:(A∩B)=A∪B,(A∪B)=A∩B.

答案:
解析:

  解:(1)A={1,2,6,7,8},B={1,2,3,5,6},(A)∩(B)={1,2,6},

  (A)∪(B)={1,2,3,5,6,7,8}.

  (2)∵(A∩B)={1,2,3,5,6,7,8},

  ∴(A∩B)=(A)∪(B).

  又∵(A∪B)={1,2,6},∴(A∪B)=(A)∩(B).


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