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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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.)
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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