The relation p = ((a, b) e R x R: 1+ ab > 0} is %3D (a) reflexive, symmetric but not transitive. (b) an equivalence. (c) transitive, symmetric but not reflexive. (d) reflexive, transitive but not symmetric.

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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The relation p = ((a, b) e R x R: 1+ ab > 0} is
(a) reflexive, symmetric but not transitive.
%3D
(b) an equivalence.
(c) transitive, symmetric but not reflexive.
(d) reflexive, transitive but not symmetric.
Transcribed Image Text:The relation p = ((a, b) e R x R: 1+ ab > 0} is (a) reflexive, symmetric but not transitive. %3D (b) an equivalence. (c) transitive, symmetric but not reflexive. (d) reflexive, transitive but not symmetric.
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