5. What is the assumption (i.e., what you suppose) and what is the conclusion (i.e., what you need to show) in a proof by contrapositive of the following statement? "For any real number x, if 0 ≤ x ≤ 3, then 15 - 8x + x2 > 0." a. We suppose that x<0 and x>3. We must show that 15 - 8x + x2 ≤ 0. b. We suppose that x<0 or x>3. We must show that 15 - 8x + x 2 ≤ 0. c. We suppose that 15-8x + x 2 ≤0. We must show that x<0 and x > 3. d. We suppose that 15-8x+x2≤0. We must show that x<0 or x> 3.

5. What is the assumption (i.e., what you suppose) and what is the conclusion (i.e., what you need to show) in a proof by contrapositive of the following statement? "For any real number x, if 0 ≤ x ≤ 3, then 15 - 8x + x2 > 0." a. We suppose that x<0 and x>3. We must show that 15 - 8x + x2 ≤ 0. b. We suppose that x<0 or x>3. We must show that 15 - 8x + x 2 ≤ 0. c. We suppose that 15-8x + x 2 ≤0. We must show that x<0 and x > 3. d. We suppose that 15-8x+x2≤0. We must show that x<0 or x> 3.

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

5. What is the assumption (i.e., what you suppose) and what is the conclusion (i.e., what you
need to show) in a proof by contrapositive of the following statement?
"For any real number x, if 0 ≤ x ≤ 3, then 15-8x + x2 > 0."
a. We suppose that x<0 and x>3. We must show that 15 - 8x + x2 ≤ 0.
b. We suppose that x<0 or x>3. We must show that 15-8x + x2 ≤ 0.
c. We suppose that 15 - 8x + x 2 ≤0. We must show that x < 0 and x > 3.
d. We suppose that 15-8x + x2 ≤0. We must show that x <0 or x > 3.

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