   Chapter 8.2, Problem 3ES ### 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
1 views

# 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 3 = { ( 2 , 3 ) ( 3 , 2 ) }

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: R3={(2,3),(3,2)}

Calculation:

A ={0, 1, 2, 3}.

R3={(2,3),(3,2)}

Directed graph:

We note that A contains 4 elements and thus we will draw 4 points

To determine

(b)

Check whether the relation is reflexive or not.

To determine

(c)

Check whether the relation is symmetric or not.

To determine

(d)

Check whether the relation is transitive or not.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 