Let A and B be any sets (subsets of some universal set U). Use a proof by contradiction (and definitions of intersection, union and comple- ment) to show that (Aº N Bº) n (AU B) must be empty.

Let U be the universal set such that any set is a subset of U. Let A and B be sets. Use element argument method to prove that A u (Un (BUA)) U.

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Can you please check my prove and please let me know if I did it correctly. Thank you! One more question , is x is not in (A and B ) by definition of set different or set of intersection? Directions for the problem: use element argument to prove number 11. Assume that all sets are subset of a universal of U.