Let A = {-5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, nЄA, m Rn 51 (m² -n²). It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) {-3,0,3,6}, {-2, - 1,1,2,4,5,7}

Let A = {-5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, nЄA, m Rn 51 (m² -n²). It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) {-3,0,3,6}, {-2, - 1,1,2,4,5,7}

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 10E: In Exercises , a relation is defined on the set of all integers. In each case, prove that is an...

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