Let A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relation R on A as follows: For all m, n ∈ A, m R n ⇔ 5|(m 2 − n 2 ). It is a fact that R is an equivalence relation on A . Use set-roster...


Let A = {−5, −4, −3, −2, −1, 0, 1, 2, 3} and define a relationR onA as follows:

For all m, n ∈ A, m R n  ⇔  5|(m2 − n2).

It is a fact thatR is an equivalence relation onA. Use set-roster notation to list the distinct equivalence classes ofR. (Enter your answer as a comma-separated list of sets.)


Jun 04, 2022
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