1.Let A = {1,2,3,4, 5, 6, 7} and define a relation R C A × A by%3DR = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}Determine (yes or no) whether R has the following properties (no justification is required).Reflexive?Symmetric?Transitive?Anti-symmetric?

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Answered: R = {(1,1), (1,2), (1,3), (2,3), (7,1),…

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R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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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Question

1.
Let A = {1,2,3,4, 5, 6, 7} and define a relation R C A × A by
%3D
R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}
Determine (yes or no) whether R has the following properties (no justification is required).
Reflexive?
Symmetric?
Transitive?
Anti-symmetric?

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