   Chapter 8.2, Problem 2ES ### 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 1-8, a number of relations are defined on the et A={0,1,2,3}. For each relation: Drae the directed graph. Determine whethrer the relation is reflexive. Determine whether the relation is symmetric. Determine whether the realtion is transitive. Give a counter example in each case in which the relation does not satisfy one of the properties. R 2 = { ( 0 , 0 ) , ( 0 , 1 ) , ( 0 , 2 ) , ( 2 , 2 ) , ( 2 , 3 ) }

To determine

(a)

Draw the directed graph.

Explanation

Given information:

A number of relations are defined on the set A = {0, 1, 2, 3}.

For the relation: R2={(0,0),(0,1),(1,1),(1,2),(2,2),(2,3)}

Calculation:

A = {0, 1, 2, 3}

To determine

(b)

Determine whether the relation R2 is reflexive.

To determine

(c)

To find whether the relation is symmetric.

To determine

(d)

To find whether the relation is transitive.

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