问题 解答题

设A={x∈Z||x|≤6},B={1,2,3},C={3,4,5,6},求:

(1)A∩(B∩C);

(2)A∩CA(B∪C).

答案

∵A={-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6}

(1)又∵B∩C={3},∴A∩(B∩C)={3};

(2)又∵B∪C={1,2,3,4,5,6}

得CA(B∪C)={-6,-5,-4,-3,-2,-1,0}.

∴A∩CA(B∪C)={-6,-5,-4,-3,-2,-1,0}

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