Answered: Let R be the relation on the set of…

Let R be the relation on the set of ordered pairs of positive integers such that ((?, ?), (?, ?)) ∈ ? if and only if a+d = b+c. Show 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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Question

Let R be the relation on the set of ordered pairs of positive integers such that
((?, ?), (?, ?)) ∈ ? if and only if a+d = b+c. Show R is an equivalence relation.

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