Let A = {-5, -4, −2, 0, 3, 6, 8), and define anequivalence relation R on A as follows: (x, y) E Rif and only if x = y (mod 5).Find the partition of A into equivalence classeswith respect to R.

Let A = {-5, -4, -2, 0, 3, 6, 8}, and define an equivalence relation R on A as follows: (x, y) in R…

Answered: Let A = {-5, -4, −2, 0, 3, 6, 8), and…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...

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23. Let be the equivalence relation on defined by if and only if there exists an element in such that .If , find , the equivalence class containing.
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Let A = {-5, -4, −2, 0, 3, 6, 8), and define an equivalence relation R on A as follows: (x, y) E R if and only if x = y (mod 5). Find the partition of A into equivalence classes with respect to R.