设E={1,2,3,4,5},A={1,4},B={1,2,5},C={2,4},其中E为全集,试求下列集合:
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【答案】:A∩~B={1,4}∩{3,4}={4};$~A∪~B={2,3,5}∪{3,4}={2,3,4,5};$(A∩B)∪~C=({1,4}∩{1,2,5})∪{1,3,5}
={1}∪{1,3,5}={1,3,5};$~(A∩B)=~({1,4}∩{1,2,5})
=~{1}={2,3,4,5};$A∪~B∪C={1,4}∪{3,4}∪{2,4}={1,2,3,4}
={1}∪{1,3,5}={1,3,5};$~(A∩B)=~({1,4}∩{1,2,5})
=~{1}={2,3,4,5};$A∪~B∪C={1,4}∪{3,4}∪{2,4}={1,2,3,4}
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