Let A = {1, 2, 3, 4}. Give an example of a relation on A that is: (a) reflexive and symmetric, but not transitive; (b) symmetric and transitive, but not reflexive; (c) symmetric, but neither transitive nor reflexive.
Let A = {1, 2, 3, 4}. Give an example of a relation on A that is: (a) reflexive and symmetric, but not transitive; (b) symmetric and transitive, but not reflexive; (c) symmetric, but neither transitive nor reflexive.
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 A = {1, 2, 3, 4}. Give an example of a relation on A that is:
(a) reflexive and symmetric, but not transitive;
(b) symmetric and transitive, but not reflexive;
(c) symmetric, but neither transitive nor reflexive.
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