已知全集U={1,2,3,4,5,6,7},A={2,4,5},B={1,3,5,7},求:(1)A∩(∁UB);(2)(∁UA)∩(∁UB).

问题描述:

已知全集U={1,2,3,4,5,6,7},A={2,4,5},B={1,3,5,7},求:
(1)A∩(∁UB);
(2)(∁UA)∩(∁UB).

(1)因为全集U={1,2,3,4,5,6,7},B={1,3,5,7},
所以∁UB={2,4,6},又A={2,4,5},所以A∩(∁UB)={2,4}.
(2)∁UA={1,3,6,7},
(∁UA)∩(∁UB)={6}