Explanation Given information: The lemma states that " = mod n " relation on Z is transitive. Proof: The following things need to be proved Reflexivity- For any a , a ∈ Z , a R a since a = a + k n for k = 0 . So the relation is reflexive. Symmetry-For any a , b ∈ Z , a R b ⇔ b R

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ISBN: 9781284056242

Author: David J. Hunter

Publisher: Jones & Bartlett Learning

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Chapter 2.4, Problem 28E

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To prove that given relation is symmetric and reflexive both.

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Chapter 2.4, Problem 27E

Chapter 2.4, Problem 29E

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Chapter 2 Solutions

Essentials of Discrete Mathematics

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To prove that given relation is symmetric and reflexive both.

Solution Summary: The author explains how the lemma states that "=mathrmmodn" relation on Z is transitive.

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Chapter 2 Solutions