Answered: 1. A relation R is defined on Z* × Z*… | bartleby

Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 8E: In Exercises 610, a relation R is defined on the set Z of all integers. In each case, prove that R...

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1. A relation R is defined on Z* × Z* by (m, n)R(p, q) → m+q = n+p.
(a). Prove that R is an equivalence relation.
(b). Describe the equivalence classes [(3, 1)], [(5,5)], and [(4,7)] by listing at least 3 elements in each class.

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