已知全集U=A∪B={x∈N|0≤x≤10},A∩(∁UB)={1,3,5,7},求集合B.

问题描述:

已知全集U=A∪B={x∈N|0≤x≤10},A∩(∁UB)={1,3,5,7},求集合B.

U=A∪B={x∈N|0≤x≤10}
={0,1,2,3,4,5,6,7,8,9,10},
{1,3,5,7}⊆A,而B中不包含{1,3,5,7},
用Venn图表示如图
∴B={0,2,4,6,8,9,10}.