8. Let R be the relation on the set of ordered pairs of positive integers such that (a, b), (c, d) € R if and only if ad = bc. Show that R is an equivalence relation.
8. Let R be the relation on the set of ordered pairs of positive integers such that (a, b), (c, d) € R if and only if ad = bc. 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 the relation on the set of ordered pairs of positive intergers such that (refer to image).
![8. Let R be the relation on the set of ordered pairs of positive integers such
that (a, b), (c, d) € R if and only if ad = bc. Show that R is an
equivalence relation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1103eb6c-aa51-49c9-83a7-78ad20c1dd33%2F3ff47c3b-e0af-498f-9a90-ead436367850%2Fiuwvw5p.png&w=3840&q=75)
Transcribed Image Text:8. Let R be the relation on the set of ordered pairs of positive integers such
that (a, b), (c, d) € R if and only if ad = bc. Show that R is an
equivalence relation.
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