
已知全集U={0,1,2,3,4,5,6,7},集合A={x∈N|-1<x≤3},B={x∈R|x2-6x+8=0}.(1)用列举法表示集
已知全集U={0,1,2,3,4,5,6,7},集合A={x∈N|-1<x≤3},B={x∈R|x2-6x+8=0}.(1)用列举法表示集合A与B;(2)求A∩B及?U(...
已知全集U={0,1,2,3,4,5,6,7},集合A={x∈N|-1<x≤3},B={x∈R|x2-6x+8=0}.(1)用列举法表示集合A与B;(2)求A∩B及?U(A∪B).
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(1)因为集合A={x∈N|-1<x≤3},B={x∈R|x2-6x+8=0}.
所以A={0,1,2,3},B={2,4};
(2)由(1)得A∩B={2},A∪B={0,1,2,3,4},全集U={0,1,2,3,4,5,6,7},所以?U(A∪B)={5,6,7}.
所以A={0,1,2,3},B={2,4};
(2)由(1)得A∩B={2},A∪B={0,1,2,3,4},全集U={0,1,2,3,4,5,6,7},所以?U(A∪B)={5,6,7}.
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