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

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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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?
Transcribed Image Text: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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