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(Solved): I do not know where to start and how to correctly prove pls help 1a and 1b Let f:A->B be a funct ...



1. Let \( f: A \rightarrow B \) be a function between sets \( A \) and \( B \). We can think of functions as input-output macI do not know where to start and how to correctly prove pls help 1a and 1b

Let f:A->B be a function between sets A and B. We can think of functions as input – output machines, where are you feed it an element of A and it spits back out an element of B. Given a subset S (subset) A, define

1. Let be a function between sets and . We can think of functions as input-output machines, where you feed it an element of and it spits back out an element of . Given a subset , define (a) Given subsets , prove that . (b) Is true? If so, provide a proof, and if not, give a counterexample.


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Solution:- let y?f(S1?S2)?y=f(x) for some x?S1?S2 ?x?S1orx?S2 Now if x?S1?y?f(S1)?y?f(S1)?f(S2) similarly x?S2?y?f(S2)?y?f(S1)?f(S2)Hence in each
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