已知全集u={1,2,3,4,5,6,7,},A={2,4,5},B={1,3,5,7}求(CuA)U(Cu B) , (CuB)∩(CuB),Cu(A∩B)Cu(A∪B)

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(CuA)U(Cu B) , (CuB)∩(CuB),Cu(A∩B)
Cu(A∪B)

(CuA)U(Cu B)={1,3,6,7}U{2,4,6}={1,2,3,4,6,7}
(CuB)∩(CuB)={2,4,6}
Cu(A∩B)={1,2,3,4,6,7,},
Cu(A∪B)={6}

已知全集U={1,2,3,4,5,6,7},A={2,4,5},b={1,3,5,7}求An(CuB)n(CuB).

CuA=U-A={1,3,6,7} CuB=U-B={2,4,6}
(CuA)U(CuB)={1,2,3,4,6,7}
(CuA)∩(CuB)={6}
Cu(A∩B)=(CuA)U(CuB)={1,2,3,4,6,7}
Cu(AUB)=CuA∩CuB={6}

CuA={1,3,6,7} CuB={2,4,6} 所以(CuA)并(CuB)={1,2,3,4,6,7} (CuA)(题打错了吧)交(CuB)={6} A交B={5},所以Cu(A交B)={1,2,3,4,6,7} A并B={1,2,3,4,5,7},所以
Cu(A并B)={6}