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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Chapter
Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem

Label each of the following statements as either true or false.

2 4 .

To determine

Whether the statement, “24” is true or false.

Explanation

Formula used:

Congruence classes of modulo n:

[a]=[a+nk,k].

Explanation:

Consider the statement, “24”.

Let the set 4={[0],[1],[2],[3]} of congruence classes

So, the congruence classes of modulo n=4, given by

[0]={...,8,4,0,4,8,...}

[1]={...,7,3,1,5,9,...}

[2]={

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