设全集U={x∈N|2≤x≤30},集合A={x|x=2n,n∈N*,且n≤15},B={x|x=3n+1,n∈N*,且n≤9},C={x|x是小于30的质数},则[

发布时间:2020-08-12 12:08:18

设全集U={x∈N|2≤x≤30},集合A={x|x=2n,n∈N*,且n≤15},B={x|x=3n+1,n∈N*,且n≤9},C={x|x是小于30的质数},则[CU(A∪B)]∩C=________.

网友回答

{3,5,11,17,23,29}
解析分析:分别写出几个集合的元素,然后按照并集、补集及交集的概念解答.

解答:因为U={x∈N|2≤x≤30}
={2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30},
A={x|x=2n,n∈N*,且n≤15}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30},
B={x|x=3n+1,n∈N*,且n≤9}={4,7,10,13,16,19,22,25,28},
C={x|x是小于30的质数}={2,3,5,7,11,13,17,19,23,29},
所以,A∪B={2,4,6,7,8,10,12,13,14,16,18,19,20,22,24,25,26,28,30},
CU(A∪B)={3,5,9,11,15,17,21,23,27,29},
所以[CU(A∪B)]∩C={3,5,11,17,23,29}.
以上问题属网友观点,不代表本站立场,仅供参考!