5th Edition

ISBN: 9781337694193

Author: EPP, Susanna S.

Publisher: Cengage Learning,

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Textbook Question

Chapter 8.2, Problem 5ES

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 5 = { ( 0 , 0 ) , ( 0 , 1 ) , ( 0 , 2 ) , ( 1 , 2 ) }

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Chapter 8.2, Problem 4ES

Chapter 8.2, Problem 6ES

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Chapter 8 Solutions

Discrete Mathematics With Applications

Ch. 8.1 - If R is a relation from A to B, xA , and yB , the...Ch. 8.1 - Prob. 2TY Ch. 8.1 - Prob. 3TY Ch. 8.1 - Prob. 4TY Ch. 8.1 - If R is a relation on a set A, the directed graph...Ch. 8.1 - As in Example 8.1.2, the congruence modulo 2...Ch. 8.1 - Prove that for all integers m and n,m-n is even...Ch. 8.1 - The congruence modulo 3 relation, T, is defined...Ch. 8.1 - Define a relation P on Z as follows: For every...Ch. 8.1 - Prob. 5ES

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Solution Summary: The author explains that A contains 4 elements and thus we will draw 4 points. The relation R 5 is reflective if it contains (a,a).

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