# Math Help - Having trouble with this set theory question

1. ## 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

2. ## 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.