Stands for the set of all natural numbers

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Let A = {x ∈ Z : 3|x}. Show that A and N has the same cardinality. Hint: construct a function f : A → N (or f : N → A) and show that it is one-to-one and onto.

(Note: in this problem, N stands for the set of all natural numbers but I didn't know how to type that on the computer)

Reference no: EM131268920

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