11. Let n is a positive integer. Prove that n is even if and only if 3n²+1 is odd. (Hint: youmust prove bi-implication, it means p q = (p→q) ^ (q→ p).) 9. Let m, n are integers. Use a proof by contraposition to prove that if m*n is even, thenm is even or n is even.10. Let n be an integer. Use a proof by contradiction to prove that if 3n+2 is even, thenn is even.

Using a demonstration by contraposition, we will assume the negative of the conclusion and…

Answered: 11. Let n is a positive integer. Prove…

11. Let n is a positive integer. Prove that n is even if and only if 3n²+1 is odd. (Hint: you must prove bi-implication, it means p q = (p→q) ^ (q→ p).)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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11. Let n is a positive integer. Prove that n is even if and only if 3n²+1 is odd. (Hint: you
must prove bi-implication, it means p q = (p→q) ^ (q→ p).)

9. Let m, n are integers. Use a proof by contraposition to prove that if m*n is even, then
m is even or n is even.
10. Let n be an integer. Use a proof by contradiction to prove that if 3n+2 is even, then
n is even.

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