Explanation Given : 3 n + 2 , ∀ n ∈ ℤ Calculation: Let 3 n + 2 , ∀ n ∈ ℤ is divisible by 3. ∴ 3 n + 2 = 3 k , ∀ k ∈ ℕ ∴ 3 n − 3 k = −

Discrete Mathematics: Introduction to Mathematical Reasoning

1st Edition

ISBN: 9780495826170

Author: Susanna S. Epp

Publisher: Cengage Learning

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Chapter 4.5, Problem 3ES

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Toshow: 3n+2,∀n∈ℤ is not divisible by 3.

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Chapter 4.5, Problem 2ES

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Chapter 4 Solutions

Discrete Mathematics: Introduction to Mathematical Reasoning

Ch. 4.1 - Prob. 1ES Ch. 4.1 - Prob. 2ES Ch. 4.1 - Prob. 3ES Ch. 4.1 - Prob. 4ES Ch. 4.1 - Prob. 5ES Ch. 4.1 - Prob. 6ES Ch. 4.1 - Prob. 7ES Ch. 4.1 - Prob. 8ES Ch. 4.1 - Prob. 9ES Ch. 4.1 - Prob. 10ES

Ch. 4.1 - Prob. 11ES Ch. 4.1 - Prob. 12ES Ch. 4.1 - Prob. 13ES Ch. 4.1 - Prob. 14ES Ch. 4.1 - Prob. 15ES Ch. 4.1 - Prob. 16ES Ch. 4.1 - Prob. 17ES Ch. 4.1 - Prob. 18ES Ch. 4.1 - Prob. 19ES Ch. 4.1 - Prob. 20ES Ch. 4.1 - Prob. 21ES Ch. 4.1 - Prob. 22ES Ch. 4.1 - Prob. 23ES Ch. 4.1 - Prob. 24ES Ch. 4.1 - Prob. 25ES Ch. 4.1 - Prob. 26ES Ch. 4.1 - Prob. 27ES Ch. 4.1 - Prob. 28ES Ch. 4.1 - Prob. 29ES Ch. 4.1 - Prob. 30ES Ch. 4.1 - Prob. 31ES Ch. 4.1 - Prob. 32ES Ch. 4.1 - Prob. 33ES Ch. 4.1 - Prob. 34ES Ch. 4.1 - Prob. 35ES Ch. 4.1 - Prob. 36ES Ch. 4.1 - Prob. 37ES Ch. 4.1 - Prob. 38ES Ch. 4.1 - Prob. 39ES Ch. 4.1 - Prob. 40ES Ch. 4.1 - Prob. 41ES Ch. 4.1 - Prob. 42ES Ch. 4.1 - Prob. 43ES Ch. 4.1 - Prob. 44ES Ch. 4.1 - Prob. 45ES Ch. 4.1 - Prob. 46ES Ch. 4.1 - Prob. 47ES Ch. 4.1 - Prob. 48ES Ch. 4.1 - Prob. 49ES Ch. 4.1 - Prob. 50ES Ch. 4.1 - Prob. 51ES Ch. 4.1 - Prob. 52ES Ch. 4.1 - Prob. 53ES Ch. 4.1 - Prob. 54ES Ch. 4.1 - Prob. 55ES Ch. 4.1 - Prob. 56ES Ch. 4.1 - Prob. 57ES Ch. 4.1 - Prob. 58ES Ch. 4.1 - 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Toshow: 3 n + 2 , ∀ n ∈ ℤ is not divisible by 3.

Solution Summary: The author explains that 3n+2,forall nin mathbbZ is not divisible by 3. This is a contradiction and hence our assumption is wrong.

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Toshow: 3n+2,∀n∈ℤ is not divisible by 3.

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Chapter 4 Solutions