In Exercises 1-10, determine whether the given relation is an equivalence relation on (1, 2, 3, 4, 5). If the relation is an equiv- alence relation, list the equivalence classes. (In Exercises 5-10, x, ye (1, 2, 3, 4, 5).) 1. ((1, 1), (2, 2), (3, 3). (4, 4). (5, 5), (1, 3), (3, 1))
In Exercises 1-10, determine whether the given relation is an equivalence relation on (1, 2, 3, 4, 5). If the relation is an equiv- alence relation, list the equivalence classes. (In Exercises 5-10, x, ye (1, 2, 3, 4, 5).) 1. ((1, 1), (2, 2), (3, 3). (4, 4). (5, 5), (1, 3), (3, 1))
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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