Let f be a function, f: S S T. a. Show that for all subsets A and B of S, f(A d B) #

Chapter 5, Problem 74

(choose chapter or problem)

Let f be a function, \(f: S \rightarrow T\).

a. Show that for all subsets A and B of \(S, f(A \cap B) \subseteq f(A) \cap f(B)\).

b. Show that \(f(A \cap B) = f(A) \cap f(B)\) for all subsets A and B of S if and only if f is one-to-one.

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