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Math Help - Subsets using DeMorgan's Law(23)

  1. #1
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    Subsets using DeMorgan's Law(23)

    I having problems with these two questions. I know that both deals the DeMorgan's law but dont know what to do.

    Prove


    If  A\sim(B\cup C)=(A\sim B)\cup (A\sim C) and  A\sim(B\cup C)=(A\sim B)\cap(A\sim C)
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  2. #2
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    First of all, does A \sim B mean all elements in A that are not in B? If so, then there are two things to point out: the first equality is wrong, it should read

    A\sim (B \cap C)=(A\sim B)\cup (A\sim C) ( \cap on the leftt side, not \cup )

    and both of them are the actual statement of De Morgan's laws for sets. So, is your question: how do you prove De Morgan's laws?
    Last edited by mr fantastic; February 6th 2010 at 03:25 AM.
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