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## Homework Statement

Let A,B,C be sets where A n C = B n C and A n C

^{c}= B n C

^{c}. Then A=B.

## Homework Equations

## The Attempt at a Solution

To prove two sets equal, i think we want to let x be in A, and then show as a result that x in B also. However, i don't see how this is possible given our hypothesis. x in A does not mean x in A n C. Also, x in A does not mean x in A n C

^{c}. Thoughts, suggestions, hints? Very much appreciated!