Question: Let Let A, B, C be arbitrary sets. For each of the following, deter- mine if the two sets are equal for any sets. If

Let Let A, B, C be arbitrary sets. For each of the following, deter- mine if the two sets are equal for any sets. If there are equal, support your answer with a Venn diagram. If they are not equal, define sets which demonstrate they are not equal. (a) B and BU(ANB). (b) BU A and (A \ B) U (B \ A). (c) C\(AUB) and (CNA) U (CAB). Suppose |A| = 5 and |B| = 8. Find the value of the following expressions: (a) A x B (b) \Pow(A x B) (c) |Pow(A) Pow(B)

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