   Chapter 8.3, Problem 15ES ### 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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# Determine which of the following congruence relations are true and which are false. 17 = 2 ( mod   5 ) 4 = − 5 ( mod   7 ) − 2 = − 8 ( mod   3 ) − 6 = 22 ( mod   2 )

To determine

(a)

Whether the congruence relation 17 = 2 (mod 5) is true or false.

Explanation

Given information:

Determine which of the following congruence relations are true and which are false.

17 = 2 (mod 5)

Concept used:

The congruence relation ab(modk) is true if k divides ab

To determine

(b)

Whether the congruence relation 45 (mod 7) is true or false.

To determine

(c)

Whether the congruence relation 28 (mod 3) is true or false.

To determine

(d)

Whether the congruence relation 622 (mod 2) is true or false.

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