Let A = {-7, –6, –5, –4, –3, -2, –1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n E Z, 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 = {-7, –6, –5, –4, –3, -2, –1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n E Z, 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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Transcribed Image Text:Let A = {-7, –6, –5, –4, –3, -2, –1, 0, 1, 2, 3} and define a relation R on A as follows:
For all m, n E Z, 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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