This is seemingly easy, but I'm having trouble finding a starting point. Please advise. Prove: $\displaystyle (C \backslash B) \subset (C \backslash A) \to (A \subset B)$ note: Some of you may be used to using C - B instead of C \ B
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Originally Posted by jmedsy Prove: $\displaystyle (C \backslash B) \subset (C \backslash A) \to (A \subset B)$ Let $\displaystyle A=\{1,2,3\},~B=\{2,3,4\}~\&~C=\{3,4,5,6\}$. Now is it true?
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).
Originally Posted by ModusPonens 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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