1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b, a)} on set A = {a,b,c,d}. Is R reflexive? Symmetric? Transitive? If a property does not hold, say why.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
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1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b,a)} on set A = {a,b,c,d}.
Is R reflexive? Symmetric? Transitive? If a property does not hold, say why.
2. Consider the relation R = {(a,b),(a, c), (c, c), (b, b), (c, b), (b,c)} on the set A = {a,b,c}.
Is R reflexive? Symmetric? Transitive? If a property does not hold, say why.
3. Consider the relation R = {(a, b),(a, c), (c, b), (b, c)} on the set A = {a,b,c}. Is R
reflexive? Symmetric? Transitive? If a property does not hold, say why.
Transcribed Image Text:1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b,a)} on set A = {a,b,c,d}. Is R reflexive? Symmetric? Transitive? If a property does not hold, say why. 2. Consider the relation R = {(a,b),(a, c), (c, c), (b, b), (c, b), (b,c)} on the set A = {a,b,c}. Is R reflexive? Symmetric? Transitive? If a property does not hold, say why. 3. Consider the relation R = {(a, b),(a, c), (c, b), (b, c)} on the set A = {a,b,c}. Is R reflexive? Symmetric? Transitive? If a property does not hold, say why.
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