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.

Question

Requirements:

Use set-roster notation to list the distinct equivalence classes of R.

Enter your answer as a comma-separated list of sets.

Answer 1

({-5,0},{-4, -1, 1},{-3, -2, 2, 3})