10. (A is the relation defined on Z as follows: for all x, y = Z, x Ay ⇒x=y (mod 3). Describe the distinct equivalence class of [2] for this relation.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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10. ( A is the relation defined on Z as follows:
for all x, y € Z, x A y = x= y (mod 3).
Describe the distinct equivalence class of [2] for this relation.
Transcribed Image Text:10. ( A is the relation defined on Z as follows: for all x, y € Z, x A y = x= y (mod 3). Describe the distinct equivalence class of [2] for this relation.
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