Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive, symmetric and transitive does the relation R possess? the relation is not reflexive or symmetric but it is vacuously transitive. What I dont understand is why is it not vacuously reflexive or symmetric, explain step by step please

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 18E: Does the relation is in love with have a reflexive property consider one person? a symmetric...
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Let S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive, symmetric and
transitive does the relation R possess? the relation is not reflexive or symmetric but it is vacuously transitive. What I dont understand is why is it not vacuously reflexive or symmetric, explain step by step please

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