Let f : A B, D1 D2 A and E1 E2 B. Prove the following(s): (a) f(D1) f(D2) (b) f 1 (E1) f 1 (E2).
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Question

Let f : A → B, D1⊆ D2⊆ A and E1⊆ E2⊆ B. Prove the following(s):

(a) f(D1) ⊆ f(D2)

(b) f

−1 (E1) ⊆ f −1 (E2).

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