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Unformatted text preview: 3) Prove this equality between two sets by using the laws of set theory AND the table method. (Note: I can not place bars of designated strings. So, for this problem I will use the symbol to denote the complement of a set.) A ( (A C) B ( A C) ) = A 4) Let A, B and C be arbitrary sets. Prove that A (( (A B) (A C) ) ( B C)). 5) In each of these questions, assume that A, B and C are sets. a) Prove or disprove: (B C) (B A) (C A). b) Prove or disprove: ((A B) (B C)) (A C). c) Prove or disprove: ((A C) (B C)) A B C. d) Prove or disprove: ((A B) (A C)) ((B C) (C B))....
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This document was uploaded on 07/14/2011.
- Spring '09