Tutorial 5 (Methods of Proof)1. Proof the following statement:2.Ia) Let x E R. If x > 0, then x² + 2 > 0b) Suppose ne Z. If n² <0, then n is positive or negative number.c) Proof that 5X + 3 is even if and only if X is odd.d)Prove the following sentence using Proof by Contradiction technique.For all real numbers x and y, if x + y >= 2 then either x >= 1 or y >=1.Let n e Z. Then n²+ 3n +5 is an odd integer (PROOF BY CASES)B7261%

1. Proof the following statement: I a) Let x E R. If x > 0, then x² + 2 > 0 b) Suppose n € Z. If n² < 0, then n is positive or negative number. c) Proof that 5X +3 is even if and only if X is odd.

1. Proof the following statement: I a) Let x E R. If x > 0, then x² + 2 > 0 b) Suppose n € Z. If n² < 0, then n is positive or negative number. c) Proof that 5X +3 is even if and only if X is odd.

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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Question

Tutorial 5 (Methods of Proof)
1. Proof the following statement:
2.
I
a) Let x E R. If x > 0, then x² + 2 > 0
b) Suppose ne Z. If n² <0, then n is positive or negative number.
c) Proof that 5X + 3 is even if and only if X is odd.
d)
Prove the following sentence using Proof by Contradiction technique.
For all real numbers x and y, if x + y >= 2 then either x >= 1 or y >=1.
Let n e Z. Then n²+ 3n +5 is an odd integer (PROOF BY CASES)
B
72
61%

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