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: 4

Answer

a) Not reflexive, not symmetric, not antisymmetric, not transitive b) Refelxive, symmetric, antisymmetric, not transitive c) Not reflexive, symmetric, antisymmetric, not transitive d) Not reflexive, not symmetric, not antisymmetric, transitive

Work Step by Step

a) a is taller than b: This relation is not reflexive, symmetric, antisymmetric, or transitive. b) a and b were born on the same day: This relation is reflexive, symmetric, antisymmetric, and transitive. c) a has the same first name as b: This relation is reflexive, symmetric, antisymmetric, and transitive. d) a and b have a common grandparent: This relation is not reflexive, symmetric, antisymmetric, or transitive.
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