已经集合U={1,2,3,4,5,6,7},A={2,4,5,7},B={3,4,5},则(∁UA)∪(∁UB)=_.

问题描述:

已经集合U={1,2,3,4,5,6,7},A={2,4,5,7},B={3,4,5},则(∁UA)∪(∁UB)=______.


∵∁UA=U-A={1,2,3,4,5,6,7}-{2,4,5,7}={1,3,6,7}
UB=U-B={1,2,3,4,5,6,7}-{3,4,5}={1,2,6,7}
∴(∁UA)∪(∁UB)={1,2,3,6,7}
故答案为{1,2,3,6,7}