   Chapter 8.5, Problem 18ES ### 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 as follows: For all ordered pairs ( a , b ) and ( c , d ) in S × S , ( a , b ) R ( c , d )   ⇔ either   a < c   or both a = c   and  b ≤ d , where < denotes the usual “less then” and ≤ denotes the usual “less than or equal to” relation fro 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:

It is given that S={0,1}.

Now, S×S={0,1}×{0,1}={(0,0,

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