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!
Oct 8th 2009, 04:57 PM
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!