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2 (a) Let S = {0, 1, 2}. Find a set A so that S A and S A. Clearly define A, and show that

2 (a) Let S = {0, 1, 2}. Find a set A so that S A and S A. Clearly define A, and show that both properties hold. (b) Determine P(S). (c) Is it true in general that S P(S) for some set S? Explain why or why not (you may use your answers above as reference)

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