Let A = (-2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all x, y E A, xRy- 31(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. (0] = {0,3,6} (1) = {-1,2, 5} [2] = {-2, 1, 4, 7} (3] = {0.3.6) How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) {0.0}, {-1, – 1}, {1, 1}
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![Let A = {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows:
For all x, y E A, x R y = 31(x - y).
It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R.
[0] = {0,3,6}
[1) = {-1, 2, 5}
(2] = {-2, 1, 4, 7}|
[3] = {0,3,6}
How many distinct equivalence classes does R have?
3
classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
|{0,0}, {–1, – 1}, {1, 1}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F255bb4bc-aa57-45f1-bc03-25aa8e831416%2Fca30e721-f09d-4d73-9278-bc8534c04449%2Fj5hattd_processed.jpeg&w=3840&q=75)
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