Question: Consider the infinite sets A = {1, 2, 3, 4, 5, ...} and B = {2, 4, 6, 8, ...}. (a) Is there any injective

Consider the infinite sets A = {1, 2, 3, 4, 5, ...} and B = {2, 4, 6, 8, ...}.

(a) Is there any injective function f : A B? Present an example if there is, or explain why there is none.

(b) Is there any bijective function f : A B? Present an example if there is, or explain why there is none.

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