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Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (а, у) € {(а, а), (1, 1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, Ь), (ь, 2), (2, с)}

Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (а, у) € {(а, а), (1, 1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, Ь), (ь, 2), (2, с)}

Elements Of Modern Algebra
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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Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (г, у) € {(а, а), (1,1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, b), (b, 2), (2, с)}
Transcribed Image Text:Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (г, у) € {(а, а), (1,1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, b), (b, 2), (2, с)}
Justifying your answer, find the smallest set of related pairs which must be added to R in order for it to become an equivalence relation.
Transcribed Image Text:Justifying your answer, find the smallest set of related pairs which must be added to R in order for it to become an equivalence relation.
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