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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 e (yes or no) whether R has the following properties (no justification Reflexive? Symmetric? Transitive? Anti-symmetric?

R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6 e (yes or no) whether R has the following properties (no justification Reflexive? Symmetric? Transitive? Anti-symmetric?

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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 Let ? = {1, 2, 3, 4, 5, 6, 7} and define a relation ? ⊆ ? × ? by
? = {(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 ? has the following properties (no justification is required). 

Let A = {1,2,3, 4,5, 6, 7} and define a relation R C A × A by 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:Let A = {1,2,3, 4,5, 6, 7} and define a relation R C A × A by 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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