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Simple question on SET THEORY

  1. Jan 17, 2012 #1
    1. The problem statement, all variables and given/known data

    if A is a subset of B, then Bc \ C is a subset of Ac \ C for any set C

    2. Relevant equations

    A is a subset of B = for all elements in A are also elements in B

    A\B = the complement of a set B in a set A
    A\B= A and Bc

    3. The attempt at a solution
    I tried opening it up but i still couldnt find a solution
  2. jcsd
  3. Jan 17, 2012 #2


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    Try to prove the contraposition: if x is not an element of [itex]A^c\setminus C[/itex], then x is not an element of [itex]B^c\setminus C[/itex].
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