   Chapter 8.1, 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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# Define a relation P on Z as follows: For every ordered pair ( m , n ) ∈ Z × Z . m P n ⇔ m   and   n have a common prime factor. Is 15 P 25? Is 22 P 27? Is 0 P 5? Is 8 P 8?

To determine

(a)

Whether 15 P 25 is true for the relation P.

Explanation

Given information:

Define a relation P on Z as follows: For all m, n ∈Z, m P n ⇔ m and n have a common prime factor.

Calculation:

Let us consider the relation15 P 25.

Here m=15,n=</

To determine

(b)

Whether22P 27 is true for the relation P.

To determine

(c)

Whether0P 5 is true for the relation P.

To determine

(d)

Whether 8 P 8 is true for the relation P.

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