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 = −

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ISBN: 9781133417071

Author: EPP

Publisher: CENGAGE LEARNING - CONSIGNMENT

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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

Chapter 4.5, Problem 4ES

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The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.

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Chapter 4 Solutions

EBK DISCRETE MATHEMATICS: INTRODUCTION

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

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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