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 + k n for some integer k iii. a and b have the same non-negative reminder when divided by n iv

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Author: EPP, Susanna S.

Publisher: Cengage Learning,

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Chapter 8.4, Problem 2TY

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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) :__, _, , .”

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Chapter 8.4, Problem 1TY

Chapter 8.4, Problem 3TY

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Chapter 8 Solutions

Discrete Mathematics With Applications

Ch. 8.1 - If R is a relation from A to B, xA , and yB , the...Ch. 8.1 - Prob. 2TY Ch. 8.1 - Prob. 3TY Ch. 8.1 - Prob. 4TY Ch. 8.1 - If R is a relation on a set A, the directed graph...Ch. 8.1 - As in Example 8.1.2, the congruence modulo 2...Ch. 8.1 - Prove that for all integers m and n,m-n is even...Ch. 8.1 - The congruence modulo 3 relation, T, is defined...Ch. 8.1 - Define a relation P on Z as follows: For every...Ch. 8.1 - Prob. 5ES

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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 ) :__, _, , .”

Solution Summary: The author explains the equivalent ways of expressing the congruence modulo n.

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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) :__, _, , .”

Want to see the full answer?

Chapter 8 Solutions

To fill in the blanks of the statement “If a , b and n are integers with n &gt; 1 , all of the following are different ways to express the fact that n | ( a − b ) :______, _______, ________, ______.”

Solution Summary: The author explains the equivalent ways of expressing the congruence modulo n.

Videos

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) :______, _______, ________, ______.”

Want to see the full answer?

Chapter 8 Solutions

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 ) :__, _, , .”

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) :__, _, , .”