Let A = {-3, -2, –1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, n E A, m R n + 3|(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 = {-3, -2, –1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, n E A, m R n + 3|(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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![Let A = {-3, –2, –1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows:
For all m, n E A, m R n +
3|(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%2Fbf635fb2-db48-49b3-ab8f-216cc04b5b10%2F369dda6f-ffe3-4e89-996e-66182fd9513c%2Fyhbf73o_processed.png&w=3840&q=75)
Transcribed Image Text:Let A = {-3, –2, –1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows:
For all m, n E A, m R n +
3|(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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