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.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 11E: 11. Let and . Prove that is one-to-one if is one-to-one.
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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.
Edif
Transcribed Image Text: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. Edif
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