   Chapter 8.4, Problem 9ES ### 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

# In 9-11, prove each of the given statements, assuming that a, b, c, d, and n are integers with n>1 and that a = c ( mod   n ) and b = d ( mod   n ) ( a + b ) = ( c + d ) ( mod   n ) ( a − b ) = ( c − d ) ( mod   n )

To determine

(a)

The proof of (a+b)=(c+d)(modn).

Explanation

Assuming that a, b, c, d and n are integers with n>1 and ac(modn), bd(modn).

Since, ac(modn) and bd(modn)

So, there exists integers s and t such that a=c+sn and b=d+tn

To determine

(b)

The proof of (ab)=(cd)(modn).

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