   Chapter 8.3, 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
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# In each of 3-6, the relation R is an equivalence relation on A. As in Example 8.3.5, first find the specified equaivalence classes. Then state the number of distinct equivalenvce classes for R and list them. A = { 0.1 , 2 , 3 , 4 } R = { ( 0 , 0 ) , ( 0 , 4 ) , ( 1 , 1 ) , ( 1 , 3 ) , ( 2 , 2 ) , ( 3 , 1 ) , ( 3 , 3 ) , ( 4 , 0 ) , ( 4 , 4 ) } equivalence   classes : [ 0 ] , [ 1 ] , [ 2 ] , [ 3 ]

To determine

To find the distinct equivalence classes of R.

Explanation

Given information:

The relation R is an equivalence relation on the set A. A={0,1,2,3,4}R={(0,0),(0,4),(1,1),(1,3),(2,2),(3,1),(3,3),(4,0),(4,4)}

Equivalence classes: ,,,

Calculation:

A={0,1,2,3,4}R={(0,0),(0,4),(1,1),(1,3),(2,2),

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