问题 解答题

(12分)已知全集U={1,2,3,4,5,6,7,8,9,10,11,13},集合A={2,4,6,8},B={3,4,5,6,8,9,11},求:

(1)A∪B 

(2)CU

(3)CU(A∩B)

(4)A∪(CUB)

答案

(1)A∪B ={2,3,4,5,6,8,9,11}

(2)CUA="{1,3,5,7,9,10,11,13}"

(3)CU(A∩B)={1,2,3,5,7,9,10,11,13};

(4) A∪(CUB)={1,2,4,6,7,8,10,13}。

本小题根据交集、并集、补集的定义求解即可.

(1)A∪B ={2,3,4,5,6,8,9,11}……………………3分

(2)CUA={1,3,5,7,9,10,11,13} ……………………6分

(3)A∩B ={4,6,8}  ……………………7分

CU(A∩B)={1,2,3,5,7,9,10,11,13}…………………9分

(4) CUB ="{1,2,7,10,13}" …………………10分

A∪(CUB)={1,2,4,6,7,8,10,13}……………………12分

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