全集U=A并B={x属于整数|0大于等于x大于等于10},A交 (补集B)={1,3,5,7},求集合B

问题描述:

全集U=A并B={x属于整数|0大于等于x大于等于10},A交 (补集B)={1,3,5,7},求集合B

B={0,2,4,6,8,9,10}

U=A∪B={x∈Z|0≤x≤10}={0,1,2,3,4,5,6,7,8,9,10}所以Cu(A∪B)=(CuA)∩(CuB)=空集A∩(CuB)={1,3,5,7}那么CuB=(CuB)∩U=(CuB)∩[(CuA)∪A]=[(CuB)∩(CuA)]∪[(CuB)∩A]=空集∪{1,3,5,7}={1,3,5,7}所以B={0,2,4,6,8,9...