   Chapter 8.5, Problem 20ES ### 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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# Let S = { 0 , 1 } and consider the partial order relation R defined on S × S × S as follows: For all ordered triples ( a , b , c ) and ( d , e , f ) in S × S × S . ( a , b , c ) R ( d , e , f )         ⇔     a ≤ d , b ≤ e ,       and   c ≤ f . Where ≤ denotes the usual “less than or equal to” relation for real numbers. Draw the Hasse diagram for R.

To determine

To draw:

The Hasse diagram for R.

Explanation

Given information:

S={0,1}

Concept used:

First draw directed graph and then draw hasse diagram.

Calculation:

All the ordered triples present in S×S×S are the following.

(0,0,0)(0,0,1)(0,1,0)(0,1,1)(1,0

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