t R be the relation on the set of ordered pairs of positive integers ch that ((a,b), (c,d)) e R if and only if a + d = b + c. Determine ether R is reflexive, symmetric and transitive.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 15E: Let A=R0, the set of all nonzero real numbers, and consider the following relations on AA. Decide in...
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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. Determine
whether R is reflexive, symmetric and transitive.
Transcribed Image Text: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. Determine whether R is reflexive, symmetric and transitive.
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