Let S be the set of ordered pairs of positive integers, and define (a,b) R (c,d) to mean that 2a-d = 2c-b. Show that R is a transitive relation on S.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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Let S be the set of ordered pairs of positive integers, and define (a,b) R (c,d) to mean that 2a-d = 2c-b. Show that R is a transitive relation on S.

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