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!