Answered: Let S be the set of all odd integers,…

Let S be the set of all odd integers, and define a function f: Z → S as follows: f(n) = 2n + 1 for all integers n. %3D Prove that f is one-to-one and onto.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let S be the set of all odd integers, and define a function f : Z S as follows: f(n) = 2n +1 for all integers n.
Prove that f is one-to-one and onto.
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