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Assume f : A → B. (i) Show that if A1 and A2 are subsets of...

Assume f : A → B. (i) Show that if A1 and A2 are subsets of A, such that A2 ⊂ A1, then f(A2) ⊂ f(A1). (ii) Assume f is one-to-one and a ∈ A. Show that if f(a) ∈ f(A1), then a ∈ A1.

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