Problem 7. Which of the following relations ∼ on Z is an equivalence relation? Explain your answer, and for each relation that is an equivalence relation, give the set Z/ ∼ of all equivalence classes. 4.x∼yiffx=yorx=−y.

Problem 7. Which of the following relations ∼ on Z is an equivalence relation? Explain your answer, and for each relation that is an equivalence relation, give the set Z/ ∼ of all equivalence classes. 4.x∼yiffx=yorx=−y.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...

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4.x∼yiffx=yorx=−y.

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