   Chapter 8.4, Problem 2TY ### 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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# If a,b, and n are integers with n > 1 , all of the following are different ways to express the fact that n | ( a − b ) : _ _ _ _ _ , _ _ _ _ _ _ _ _ , _ _ _ _ _ _ _ _ , _ _ _ _

To determine

To fill in the blanks of the statement “If a,bandn are integers with n>1, all of the following are different ways to express the fact that n|(ab) :______, _______, ________, ______.”

Explanation

Given:

The incomplete statement “If a,bandn are integers with n>1, all of the following are different ways to express the fact that n|(ab) :______, _______, ________, ______.”

The equivalent ways of expressing the congruence modulo n are,

If a,bandn are integers with n>1, all of the following are different ways to

Express the fact n|(ab)

i. ab(modn)

ii. a=b+knforsomeintegerk

iii. aandbhavethesamenon-negativereminderwhendividedbyn

iv

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