Let A = {-5, –4, –3, -2, –1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n E A, m R n e 5|(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 = {-5, –4, –3, -2, –1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n E A, m R n e 5|(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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the correct answer to "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.)"? Original Problem statement in image.
![Let A = {-5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows:
For all m, n e A, m R n e 5|(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%2Fddb57a32-2247-47a5-9d55-8c5fe5ac9cfb%2F28e8d0d2-2c6b-4745-9ce7-429ba920fda4%2Fdht2puo_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, n e A, m R n e 5|(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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