   Chapter 8.2, Problem 15ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# In 9-33, determine whether the given relation is reflexive symmetric, transitive, or none of these. Justify your answer.D is the “”divide” relation on Z + : For all positive integers m and n , m D   n   ⇔ m | n .

To determine

To justify whether the given relation is reflexive, symmetric, transitive, or none of these.

Explanation

Given information:

D is the “divides” relation on Z +:

For all positive integers m and n, m D nm|n.

Calculation:

D is reflexive, since a|a.

D is not symmetric since 2|6, but 6|2.

D is transitive, since if m|n, then n=m(k), where k+

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