集合U={1,2,3,4,5,6},B={1,4},A={2,3,5},求∁U(A∪B)与(∁UA)∩(∁UB).

问题描述:

集合U={1,2,3,4,5,6},B={1,4},A={2,3,5},求∁U(A∪B)与(∁UA)∩(∁UB).

∵集合U={1,2,3,4,5,6},B={1,4},A={2,3,5},
∴∁UA={1,4,6},
UB={2,3,5,6},
A∪B={1,2,3,4,5},
则∁U(A∪B)={6},(∁UA)∩(∁UB)={6}.