Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 9 - Section 9.1 - Relations and Their Properties - Exercises - Page 581: 5

Answer

1.reflexive,transive 2.symmetric 3.symmetric

Work Step by Step

Assume set of all webpages I) If a person has visited webpage A then he has visited webpage. So, for every element in A. Thus, the relation is reflexive. It is possible that some people has visited webpage B but not has visited webpage A. So, the relation is not symmetric. If everyone who has visited webpage A has also visited webpage B and If everyone who has visited webpage B has also visited webpage A, then these webpages are equal. So, the relation is not antisymmetric. If everyone who has visited webpage A has also visited webpage B and If everyone who has visited webpage B has also visited webpage C, then everyone who has visited webpage A has also visited webpage ns C. Thus, the relation is transitive. symmetric
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