Problem 3 Let R be the 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. Show that R is an equivalence relation. its Discrete Mathematic plz solve it step-by-step.

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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Problem 3
Let R be the relation on the set of ordered pairs of positive integers such that (a, b), (c, d)) ER if and only
if a +d = b+c. Show that R is an equivalence relation.
its Discrete Mathematic plz solve it step-by-step.
Transcribed Image Text:Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that (a, b), (c, d)) ER if and only if a +d = b+c. Show that R is an equivalence relation. its Discrete Mathematic plz solve it step-by-step.
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