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10. The power set of a set T, denoted A(7), is the set consisting of all the subsets of T. The power set includes the

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10. The power set of a set T, denoted A(7), is the set consisting of all the subsets of T. The power set includes the original set and the empty set. Let T= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Define a function f on the power set A(T) f: AT) - AT) as follows: Vsets S E AT), f(S) = S In other words, the function f sends each set to its complement. a) What is f( {1, 3, 5, 7, 9})? b) What is f(T)? (4 points)

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