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Math Help - Set theory problem

  1. #1
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    Set theory problem

    This is seemingly easy, but I'm having trouble finding a starting point. Please advise.

    Prove:

    (C \backslash B) \subset (C \backslash A) \to (A \subset B)

    note: Some of you may be used to using C - B instead of C \ B
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  2. #2
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    Re: Set theory problem

    Quote Originally Posted by jmedsy View Post
    Prove:
    (C \backslash B) \subset (C \backslash A) \to (A \subset B)
    Let A=\{1,2,3\},~B=\{2,3,4\}~\&~C=\{3,4,5,6\}.
    Now is it true?
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  3. #3
    Member ModusPonens's Avatar
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    Re: Set theory problem

    I think it's meant to be that A and B are subsets of C. C\(C\A) is a subset of C\(C\B).
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  4. #4
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    Re: Set theory problem

    Quote Originally Posted by ModusPonens View Post
    I think it's meant to be that A and B are subsets of C. C\(C\A) is a subset of C\(C\B).
    But that is not what was posted.
    We can only deal with the OP.
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