Let R be relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) e R ifand only if (a + d) = (b + c). Show that R is an equivalence 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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Let R be relation on the set of ordered pairs of positive integers such that
((a, b), (c, d)) E R if and only if(a + d) = (b+ c). Showthat R is an equivalence relation.
Transcribed Image Text:Let R be relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) E R if and only if(a + d) = (b+ c). Showthat R is an equivalence relation.
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