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 15E: Let A=R0, the set of all nonzero real numbers, and consider the following relations on AA. Decide in...
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![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}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2F2792b160-3f9f-4fdc-bc5a-4e68779592f7%2Fe7aysqf_processed.png&w=3840&q=75)
Transcribed Image Text: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}
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