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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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