Prove that the set 3Z + 2 = {3n + 2: n E Z} is denumerable. Hint: It may be easier to build a bijection of 3Z+2 with Z, and compose it with a bijection of Z with N.
Prove that the set 3Z + 2 = {3n + 2: n E Z} is denumerable. Hint: It may be easier to build a bijection of 3Z+2 with Z, and compose it with a bijection of Z with N.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 16E: Prove that the statements in Exercises 116 are true for every positive integer n....
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