Recent content by nachosamurai

Thank you very much, I think I see how I can proceed from here :) So basically it's all a matter of re-writing these to be easier to prove, eh?

ah, shoot, yes >.< you're correct, it should be this: 1: Prove A is the disjoint union of A\B and A intersect B. That's what i get for trying to mess around with these symbols, I have no idea how to do it correctly on these boards and didn't even notice I had made a union sign instead of an...

Well, I'm still confused why we're turning "and" into the union symbol. Is that what we're supposed to do? As far as A\B = A intersect B-compliment, I understand that. Everything in A that's not in B is equal to everything that's in both A and everything that's not in B, and also in A. But but...

OK, I had a slight mistake in the problem. There are two separate but similar problems, and I got confused about which one I was reading half-way through the problem. I've updated them in the original post, and will repeat it here as well: Let A and B be any sets. 1: Prove A is the disjoint...

Homework Statement Let A and B be any sets. 1: Prove A is the disjoint union of A\B and A intersect B. 2: Prove A U B is the disjoint union of A\B, A intersect B, and B\A. Homework Equations ? The Attempt at a Solution I understand most of the basic terminology used. I know disjoint...