   Chapter 8.3, Problem 4ES ### 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 equivalence classes. Then state the number of distinct equivalence classes for R and list them. 4. A = { a ,   b ,   c ,   d } R = { ( a ,   a ) ,   ( b ,   b ) ,   ( b ,   d ) ,   ( c ,   c ) ,   ( d , ​   b ) ,   ( d ,   d ) } equivalence classes: [a], [b], [c], [d]

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={a,b,c,d}R={(a,a),(b,b),(b,d),(c,c),(d,b),(d,d)}

Calculation:

A={a,b,c,d}R={(a,a),(b,b),(b,d),(c,c),(d,b)

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