Thread: Equality of Sets

Hi,
I have a question that I actually don't even know how to start:

There are three sets: A, B, and C. If intersection of A and C equals intersection of B and C AND the union of A and C equals union of B and C, can you conclude that A = B?

All I know is that either parts of the question individually DO NOT confirm that A = B, but after that, I don't know how to prove if both of them put together show equality. Any help would be greatly appreciated. Thank you!

Ok, so i've tried several examples, and they are all leading me to think that this is true... but how do i prove it???? PLEASE help me out!