Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4) and define a relation R on A as follows: For all m, n E A, m Rn 31(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, 3, 4) and define a relation R on A as follows: For all m, n E A, m Rn 31(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
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
Related questions
Question
![Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4) and define a relation R on A as follows:
For all m, n E A, m Rn
31(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8ef3851-b223-4be3-ac39-739e48c0c7a3%2Fc7250e0b-2cf3-43d2-9bfd-8671672b19ea%2Fwmasm19_processed.png&w=3840&q=75)
Transcribed Image Text:Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4) and define a relation R on A as follows:
For all m, n E A, m Rn
31(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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