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Prove or disprove each of the following. State the method of proof used: (a) If A and B are disjoint nonempty subsets, then A-B c

Prove or disprove each of the following. State the method of proof used:

(a) If A and B are disjoint nonempty subsets, then A-Bc =

(b) If AB = AC for any non-empty set A,B,C then B=C

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