Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ divides y} %3| (b) G = {(x, y) |x = y or x

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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Determine whether the following relation is an equivalence relation or not.
(à) G = {(x, y) |x divides y}
(b) G = {(x, y) |x
y or x = -y}
Transcribed Image Text:Determine whether the following relation is an equivalence relation or not. (à) G = {(x, y) |x divides y} (b) G = {(x, y) |x y or x = -y}
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