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 byR = {(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?

Answered: Image /qna-images/answer/dea8f265-f912-4630-aca1-bf821fa37445.jpg

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

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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Question

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?

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