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Math Help - Having trouble with this set theory question

  1. #1
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    Having trouble with this set theory question

    Prove if B-C\subseteq A^c, then A \cap B \subseteq C

    Not too sure how to prove this...I tried drawing some Venn diagrams and I believe A must be a subset of C...but it didn't really get me any closer to proving it
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  2. #2
    Senior Member
    Joined
    Feb 2010
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    Re: Having trouble with this set theory question

    Suppose x in A and x in B.

    Suppose, toward a contradiction, x not in C.

    So x in B-C. So x not in A. Contradiction. So x in C.
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