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 , b and n are integers with n>1, all of the following are different ways to express the fact that n|(a−b) :______, _______, ________, ______.”

Explanation

Given:

The incomplete statement “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) :______, _______, ________, ______.”

The equivalent ways of expressing the congruence modulo n are,

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

Express the fact n|(a−b)

i. a≡b (mod n)

ii. a=b+kn for some integer k

iii. a and b have the same non-negative reminder when divided by n

iv

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Chapter 8 Solutions

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Sect-8.1 P-1TY Sect-8.1 P-2TY Sect-8.1 P-3TY Sect-8.1 P-4TY Sect-8.1 P-5TY Sect-8.1 P-1ES Sect-8.1 P-2ES Sect-8.1 P-3ES Sect-8.1 P-4ES Sect-8.1 P-5ES

Sect-8.1 P-6ES Sect-8.1 P-7ES Sect-8.1 P-8ES Sect-8.1 P-9ES Sect-8.1 P-10ES Sect-8.1 P-11ES Sect-8.1 P-12ES Sect-8.1 P-13ES Sect-8.1 P-14ES Sect-8.1 P-15ES Sect-8.1 P-16ES Sect-8.1 P-17ES Sect-8.1 P-18ES Sect-8.1 P-19ES Sect-8.1 P-20ES Sect-8.1 P-21ES Sect-8.1 P-22ES Sect-8.1 P-23ES Sect-8.1 P-24ES Sect-8.2 P-1TY Sect-8.2 P-2TY Sect-8.2 P-3TY Sect-8.2 P-4TY Sect-8.2 P-5TY Sect-8.2 P-6TY Sect-8.2 P-7TY Sect-8.2 P-8TY Sect-8.2 P-9TY Sect-8.2 P-10TY Sect-8.2 P-1ES Sect-8.2 P-2ES Sect-8.2 P-3ES Sect-8.2 P-4ES Sect-8.2 P-5ES Sect-8.2 P-6ES Sect-8.2 P-7ES Sect-8.2 P-8ES Sect-8.2 P-9ES Sect-8.2 P-10ES Sect-8.2 P-11ES Sect-8.2 P-12ES Sect-8.2 P-13ES Sect-8.2 P-14ES Sect-8.2 P-15ES Sect-8.2 P-16ES Sect-8.2 P-17ES Sect-8.2 P-18ES Sect-8.2 P-19ES Sect-8.2 P-20ES Sect-8.2 P-21ES Sect-8.2 P-22ES Sect-8.2 P-23ES Sect-8.2 P-24ES Sect-8.2 P-25ES Sect-8.2 P-26ES Sect-8.2 P-27ES Sect-8.2 P-28ES Sect-8.2 P-29ES Sect-8.2 P-30ES Sect-8.2 P-31ES Sect-8.2 P-32ES Sect-8.2 P-33ES Sect-8.2 P-34ES Sect-8.2 P-35ES Sect-8.2 P-36ES Sect-8.2 P-37ES Sect-8.2 P-38ES Sect-8.2 P-39ES Sect-8.2 P-40ES Sect-8.2 P-41ES Sect-8.2 P-42ES Sect-8.2 P-43ES Sect-8.2 P-44ES Sect-8.2 P-45ES Sect-8.2 P-46ES Sect-8.2 P-47ES Sect-8.2 P-48ES Sect-8.2 P-49ES Sect-8.2 P-50ES Sect-8.2 P-51ES Sect-8.2 P-52ES Sect-8.2 P-53ES Sect-8.2 P-54ES Sect-8.2 P-55ES Sect-8.2 P-56ES Sect-8.3 P-1TY Sect-8.3 P-2TY Sect-8.3 P-3TY Sect-8.3 P-4TY Sect-8.3 P-5TY Sect-8.3 P-6TY Sect-8.3 P-1ES Sect-8.3 P-2ES Sect-8.3 P-3ES Sect-8.3 P-4ES Sect-8.3 P-5ES Sect-8.3 P-6ES Sect-8.3 P-7ES Sect-8.3 P-8ES Sect-8.3 P-9ES Sect-8.3 P-10ES Sect-8.3 P-11ES Sect-8.3 P-12ES Sect-8.3 P-13ES Sect-8.3 P-14ES Sect-8.3 P-15ES Sect-8.3 P-16ES Sect-8.3 P-17ES Sect-8.3 P-18ES Sect-8.3 P-19ES Sect-8.3 P-20ES Sect-8.3 P-21ES Sect-8.3 P-22ES Sect-8.3 P-23ES Sect-8.3 P-24ES Sect-8.3 P-25ES Sect-8.3 P-26ES Sect-8.3 P-27ES Sect-8.3 P-28ES Sect-8.3 P-29ES Sect-8.3 P-30ES Sect-8.3 P-31ES Sect-8.3 P-32ES Sect-8.3 P-33ES Sect-8.3 P-34ES Sect-8.3 P-35ES Sect-8.3 P-36ES Sect-8.3 P-37ES Sect-8.3 P-38ES Sect-8.3 P-39ES Sect-8.3 P-40ES Sect-8.3 P-41ES Sect-8.3 P-42ES Sect-8.3 P-43ES Sect-8.3 P-44ES Sect-8.3 P-45ES Sect-8.3 P-46ES Sect-8.3 P-47ES Sect-8.4 P-1TY Sect-8.4 P-2TY Sect-8.4 P-3TY Sect-8.4 P-4TY Sect-8.4 P-5TY Sect-8.4 P-6TY Sect-8.4 P-7TY Sect-8.4 P-8TY Sect-8.4 P-9TY Sect-8.4 P-10TY Sect-8.4 P-1ES Sect-8.4 P-2ES Sect-8.4 P-3ES Sect-8.4 P-4ES Sect-8.4 P-5ES Sect-8.4 P-6ES Sect-8.4 P-7ES Sect-8.4 P-8ES Sect-8.4 P-9ES Sect-8.4 P-10ES Sect-8.4 P-11ES Sect-8.4 P-12ES Sect-8.4 P-13ES Sect-8.4 P-14ES Sect-8.4 P-15ES Sect-8.4 P-16ES Sect-8.4 P-17ES Sect-8.4 P-18ES Sect-8.4 P-19ES Sect-8.4 P-20ES Sect-8.4 P-21ES Sect-8.4 P-22ES Sect-8.4 P-23ES Sect-8.4 P-24ES Sect-8.4 P-25ES Sect-8.4 P-26ES Sect-8.4 P-27ES Sect-8.4 P-28ES Sect-8.4 P-29ES Sect-8.4 P-30ES Sect-8.4 P-31ES Sect-8.4 P-32ES Sect-8.4 P-33ES Sect-8.4 P-34ES Sect-8.4 P-35ES Sect-8.4 P-36ES Sect-8.4 P-37ES Sect-8.4 P-38ES Sect-8.4 P-39ES Sect-8.4 P-40ES Sect-8.4 P-41ES Sect-8.4 P-42ES Sect-8.4 P-43ES Sect-8.5 P-1TY Sect-8.5 P-2TY Sect-8.5 P-3TY Sect-8.5 P-4TY Sect-8.5 P-5TY Sect-8.5 P-6TY Sect-8.5 P-7TY Sect-8.5 P-8TY Sect-8.5 P-9TY Sect-8.5 P-10TY Sect-8.5 P-1ES Sect-8.5 P-2ES Sect-8.5 P-3ES Sect-8.5 P-4ES Sect-8.5 P-5ES Sect-8.5 P-6ES Sect-8.5 P-7ES Sect-8.5 P-8ES Sect-8.5 P-9ES Sect-8.5 P-10ES Sect-8.5 P-11ES Sect-8.5 P-12ES Sect-8.5 P-13ES Sect-8.5 P-14ES Sect-8.5 P-15ES Sect-8.5 P-16ES Sect-8.5 P-17ES Sect-8.5 P-18ES Sect-8.5 P-19ES Sect-8.5 P-20ES Sect-8.5 P-21ES Sect-8.5 P-22ES Sect-8.5 P-23ES Sect-8.5 P-24ES Sect-8.5 P-25ES Sect-8.5 P-26ES Sect-8.5 P-27ES Sect-8.5 P-28ES Sect-8.5 P-29ES Sect-8.5 P-30ES Sect-8.5 P-31ES Sect-8.5 P-32ES Sect-8.5 P-33ES Sect-8.5 P-34ES Sect-8.5 P-35ES Sect-8.5 P-36ES Sect-8.5 P-37ES Sect-8.5 P-38ES Sect-8.5 P-39ES Sect-8.5 P-40ES Sect-8.5 P-41ES Sect-8.5 P-42ES Sect-8.5 P-43ES Sect-8.5 P-44ES Sect-8.5 P-45ES Sect-8.5 P-46ES Sect-8.5 P-47ES Sect-8.5 P-48ES Sect-8.5 P-49ES Sect-8.5 P-50ES Sect-8.5 P-51ES

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