Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 5.8, Problem 1OE

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 1OE

The open sentence with integer as coefficient is 3x−6=5

Explanation of Solution

Given open sentence with integer x2−1=56

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

x2−1=56

Multiply both the sides by 6, the LCM of 2 and 6

6(x2−1)=56(6)

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

6x2−6=53x−6=5

Hence, the open the open sentence with integer as coefficient is 3x−6=5

Chapter 5.7, Problem 8ST

Chapter 5.8, Problem 2OE

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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