   Chapter 8.1, Problem 7ES ### 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
1 views

# Define a relation R on Z as follows: For all integers m and n, m R n     ⇔     5 | ( m 2 − n 2 ) . Is   1 R ( − 9 ) ? Is   2 R 13 ? Is       2 R ( − 8 ) ? Is   ( − 8 )   R 2 ?

To determine

(a)

Whether 1 R (-9) is true for the relation R.

Explanation

Given information:

Define a relation R on Z as follows: For all integers m and n, m R n ⇔ 5 | ( m2 - n2 ).

Calculation:

Let us consider the relation.

m R n5|(m2n2) and 1 R (-9)

Here m=1,n=9

(12 (

To determine

(b)

Whether 2R 13 is true for the relation R.

To determine

(c)

Whether 2 R (8) is true for the relation R.

To determine

(d)

Whether (8) R 2 is true for the relation R.

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