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Prove each of the following statements by using a direct proof, a proof by contrapositive, a proof by contradiction, or a proof by cases. Indicate which proof method you used, as well as the assumption (i.e., what you suppose) and the conclusion (i.e., what you need to show) of the proof. 1. For any integer n, if 3n – 5 is even, then n is odd. 2. For any real number x, |x + 5| – x > 1.

Prove each of the following statements by using a direct proof, a proof by contrapositive, a proof by contradiction, or a proof by cases. Indicate which proof method you used, as well as the assumption (i.e., what you suppose) and the conclusion (i.e., what you need to show) of the proof. 1. For any integer n, if 3n – 5 is even, then n is odd. 2. For any real number x, |x + 5| – x > 1.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Prove each of the following statements by using a direct proof, a proof by contrapositive, a proof by contradiction, or a proof by cases. Indicate which proof method you used, as well as the assumption (i.e., what you suppose) and the conclusion (i.e., what you need to show) of the proof. 1. For any integer n, if 3n – 5 is even, then n is odd. 2. For any real number x, |x + 5| – x > 1.
Transcribed Image Text:Prove each of the following statements by using a direct proof, a proof by contrapositive, a proof by contradiction, or a proof by cases. Indicate which proof method you used, as well as the assumption (i.e., what you suppose) and the conclusion (i.e., what you need to show) of the proof. 1. For any integer n, if 3n – 5 is even, then n is odd. 2. For any real number x, |x + 5| – x > 1.
Expert Solution
Step 1

Even number format: 2* integer

Odd number format: 2* integer+1

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