(i) Let A = {1,2,3,4,5), then either find a relation on A that is not reflexive on A and not transitive but symmetric or Prove that no such relation exists.
(i) Let A = {1,2,3,4,5), then either find a relation on A that is not reflexive on A and not transitive but symmetric or Prove that no such relation exists.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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![(i) Let A = {1,2,3,4,5), then either find a relation on A that
is not reflexive on A and
not transitive but symmetric or Prove that no such
relation exists.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0abf2d6f-df57-4549-9b6a-a83efb0b89b7%2F59cbac55-4745-459d-b416-a52e865eedbb%2Fo4ll1qw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(i) Let A = {1,2,3,4,5), then either find a relation on A that
is not reflexive on A and
not transitive but symmetric or Prove that no such
relation exists.
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