Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 8 - Relations - Exercise Set 8.2 - Page 458: 4

Answer

1 --> 2 2 --> 1 1 --> 3 3 --> 1 1. Not Reflexive 2. Symmetric 3. Not Transitive

Work Step by Step

Counterexample for reflexive property: There are no pairs of the form (a, a) in R4, so the relation is not reflexive. Counterexample for transitive property: (1, 2) and (2, 1) are included in R4, but (1, 1) is not, so the relation is not transitive.
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