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8. 6 points Let A, B, and C be sets. Without using a membership table prove the following equivalence. You must explicitly state the set

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8. 6 points Let A, B, and C be sets. Without using a membership table prove the following equivalence. You must explicitly state the set identities used in the proof. (a) (AUB) C (AU BUC) (b) (AN BNC) C (ANB) 9. 18 points State whether each of the following is a function, if so prove it is onto, and/or one-to-one for f:Z + Z: (a) f(x) = 8x (b) f(x) = x2 + 5 (c) f(x) = 5x3 - 3

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