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Math Help - Set Theory Proofs

  1. #1
    Junior Member
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    Set Theory Proofs

    I got a couple of proofs not really sure sure the best way to prove them

    AcBorAcC <=> Ac(B(intersection)C)

    and

    AcCandBcD => (AxB)c(Axc)

    and

    AU(B/C)=(AuB)\(AuC)

    i'm pretty sure all 3 of these statements are false just don't know how to prove it. Just to clarify u is union and c is belongs too and (intersection) is of course intersection
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  2. #2
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    The sets A={1}, B={1,2,3} & C={2,4} provide a counter-example to #1 & #3.
    There is a typo in #2.
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