(a) Consider the relation R on the set A = {p, q, r, s} defined by R= {(p,p), (p, q), (q, r), (r, s), (r,r), (s,r)}. This relation is not reflexive. What element(s) would we need to add to R in order for it to be reflexive? (b) Consider the relation R on the set A = (X,Y,Z) defined by R = {(X, X), (X,Y), (X, Z), (Y, Y), (Y,Z), (Z, X)}. This relation is not symmetric. What element(s) would we need to add to R in order for it to be symmetric? (c) Consider the relation R on the set A = {X,Y,Z} defined by R= {(X,Y), (Y, X), (Z, Z)}. This relation is not transitive. What element(s) would we need to add to R in order for it to be transitive?

(a) Consider the relation R on the set A = {p, q, r, s} defined by R= {(p,p), (p, q), (q, r), (r, s), (r,r), (s,r)}. This relation is not reflexive. What element(s) would we need to add to R in order for it to be reflexive? (b) Consider the relation R on the set A = (X,Y,Z) defined by R = {(X, X), (X,Y), (X, Z), (Y, Y), (Y,Z), (Z, X)}. This relation is not symmetric. What element(s) would we need to add to R in order for it to be symmetric? (c) Consider the relation R on the set A = {X,Y,Z} defined by R= {(X,Y), (Y, X), (Z, Z)}. This relation is not transitive. What element(s) would we need to add to R in order for it to be transitive?

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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