Let A = {1, 2, 3, 4,23} and define a relation R on A as follows:For all x, y E A, x R y = 4|(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.[1] =[2][3] =[4][5]How many distinct equivalence classes does R have?classesList the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)

Let A = {1, 2, 3, 4, ..., 23} and define a relation R on A as follows: For all x, y € A, x R y = 4|(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. [1] = [2] = [3] = [4] = [5] =

Let A = {1, 2, 3, 4, ..., 23} and define a relation R on A as follows: For all x, y € A, x R y = 4|(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. [1] = [2] = [3] = [4] = [5] =

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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Question

Let A = {1, 2, 3, 4,
23} and define a relation R on A as follows:
For all x, y E A, x R y = 4|(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.
[1] =
[2]
[3] =
[4]
[5]
How many distinct equivalence classes does R have?
classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)

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