   Chapter 2.6, Problem 1TFE

Chapter
Section
Textbook Problem

Label each of the following statements as either true or false. 2 ∈ ℤ 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={,,,} of congruence classes

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

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

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

={

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