Question: Suppose that f : X Y is a function, and that A X and B X. a) Prove that f(A B) f(A) f(B). b) Prove

Suppose that f : X Y is a function, and that A X and B X.

a) Prove that f(A B) f(A) f(B).

b) Prove that f(A B) = f(A) f(B) given that f is an injective map.

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