Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Chapter 5.8, Problem 3OE

To determine

To find the open sentence with integer as coefficient that is equivalent to the given open sentence.

Expert Solution & Answer

Answer to Problem 3OE

The open sentence with integer as coefficient is 2t−3>6

Explanation of Solution

Given open sentence with integer t3−12>1

Open sentence: A sentence is open when it is not known if it true or false depend upon the variable.

t3−12>1

Multiply both the sides by 6, the LCM of 3 and 6

6(t3−12)>1(6)

Apply distributive property [a(b+c)=a∗b+a*c]

(6t3−62)>62t−3>6

Hence, the open sentence with integer as coefficient is 2t−3>6

Chapter 5.8, Problem 2OE

Chapter 5.8, Problem 4OE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

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