   Chapter 8.5, Problem 23ES ### 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 22-29, find all greatest, least, maximal, and minimal elements for the relation in each of the referenced exercises.Exercises 16(b)

To determine

To find:

All greatest, least, maximal and minimal elements for the “divides” relation on the set

A={2,3,4,6,8,9,12,18}.

Explanation

Given information:

A={2,3,4,6,8,9,12,18}

Concept used:

If given set is reflexive, antisymmetric and transitive then the given set is called of partial order.

Calculation:

Consider the Hasse diagram.

Objective is to write the greatest, least, maximal and minimal element.

From the above diagram, it can be easily seen that there is no greatest element in the Hasse diagram

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