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Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2} and define a relation R on A as follows: For all m, n E A, mRn 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.)

Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2} and define a relation R on A as follows: For all m, n E A, mRn 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.)

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 28E
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Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2} and define a relation R on A as follows: For all m, n E A, 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.)
Transcribed Image Text:Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2} and define a relation R on A as follows: For all m, n E A, 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.)
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