(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 3.1, Problem 55WE

To determine

To solve: the given equation for x .

Expert Solution & Answer

Answer to Problem 55WE

The value of x in the given equation is x=4 or x=−4 .

Explanation of Solution

Given information:

Given equation

−(|x|+2)=−6

Concept used:

Absolute value of a function a is given by

|a|={a a>0−a a<00 a=0 \

And

|−a|=a|a|=a

More over

|x|=b⇒x=b or x=−b

Calculation:

Consider the given equation,

−(|x|+2)=−6

Now, solve the equation as shown,

−(|x|+2)=−6|x|+2=6|x|+2−2=6−2|x|=4x=4 or x=−4

Hence, the value of x in the given equation is x=4 or x=−4 .

Chapter 3.1, Problem 54WE

Chapter 3.1, Problem 56WE

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

Ch. 3.1 - Prob. 11OE Ch. 3.1 - Prob. 12OE Ch. 3.1 - Prob. 13OE Ch. 3.1 - Prob. 14OE Ch. 3.1 - Prob. 15OE Ch. 3.1 - Prob. 16OE Ch. 3.1 - Prob. 17OE Ch. 3.1 - Prob. 18OE Ch. 3.1 - Prob. 19OE Ch. 3.1 - Prob. 20OE Ch. 3.1 - Prob. 21OE Ch. 3.1 - Prob. 1WE Ch. 3.1 - Prob. 2WE Ch. 3.1 - Prob. 3WE Ch. 3.1 - Prob. 4WE Ch. 3.1 - Prob. 5WE Ch. 3.1 - Prob. 6WE Ch. 3.1 - Prob. 7WE Ch. 3.1 - Prob. 8WE Ch. 3.1 - Prob. 9WE Ch. 3.1 - Prob. 10WE Ch. 3.1 - Prob. 11WE Ch. 3.1 - Prob. 12WE Ch. 3.1 - Prob. 13WE Ch. 3.1 - Prob. 14WE Ch. 3.1 - Prob. 15WE Ch. 3.1 - Prob. 16WE Ch. 3.1 - Prob. 17WE Ch. 3.1 - Prob. 18WE Ch. 3.1 - Prob. 19WE Ch. 3.1 - Prob. 20WE Ch. 3.1 - Prob. 21WE Ch. 3.1 - Prob. 22WE Ch. 3.1 - Prob. 23WE Ch. 3.1 - Prob. 24WE Ch. 3.1 - Prob. 25WE Ch. 3.1 - Prob. 26WE Ch. 3.1 - Prob. 27WE Ch. 3.1 - Prob. 28WE Ch. 3.1 - Prob. 29WE Ch. 3.1 - Prob. 30WE Ch. 3.1 - Prob. 31WE Ch. 3.1 - Prob. 32WE Ch. 3.1 - Prob. 33WE Ch. 3.1 - Prob. 34WE Ch. 3.1 - Prob. 35WE Ch. 3.1 - Prob. 36WE Ch. 3.1 - Prob. 37WE Ch. 3.1 - Prob. 38WE Ch. 3.1 - Prob. 39WE Ch. 3.1 - Prob. 40WE Ch. 3.1 - Prob. 41WE Ch. 3.1 - Prob. 42WE Ch. 3.1 - Prob. 43WE Ch. 3.1 - Prob. 44WE Ch. 3.1 - Prob. 45WE Ch. 3.1 - Prob. 46WE Ch. 3.1 - Prob. 47WE Ch. 3.1 - Prob. 48WE Ch. 3.1 - Prob. 49WE Ch. 3.1 - Prob. 50WE Ch. 3.1 - Prob. 51WE Ch. 3.1 - Prob. 52WE Ch. 3.1 - Prob. 53WE Ch. 3.1 - Prob. 54WE Ch. 3.1 - Prob. 55WE Ch. 3.1 - Prob. 56WE Ch. 3.1 - Prob. 57WE Ch. 3.1 - Prob. 58WE Ch. 3.1 - Prob. 59WE Ch. 3.1 - Prob. 60WE Ch. 3.1 - Prob. 1P Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.1 - Prob. 6P Ch. 3.1 - Prob. 7P Ch. 3.1 - Prob. 8P Ch. 3.1 - Prob. 9P Ch. 3.1 - Prob. 10P Ch. 3.1 - Prob. 11P Ch. 3.1 - Prob. 12P Ch. 3.1 - Prob. 13P Ch. 3.1 - Prob. 14P Ch. 3.1 - Prob. 15P Ch. 3.1 - Prob. 16P Ch. 3.1 - Prob. 17P Ch. 3.1 - Prob. 18P Ch. 3.1 - Prob. 19P Ch. 3.1 - Prob. 20P Ch. 3.1 - Prob. 1MRE Ch. 3.1 - Prob. 2MRE Ch. 3.1 - Prob. 3MRE Ch. 3.1 - Prob. 4MRE Ch. 3.1 - Prob. 5MRE Ch. 3.1 - Prob. 6MRE Ch. 3.1 - Prob. 7MRE Ch. 3.1 - Prob. 8MRE Ch. 3.1 - Prob. 9MRE Ch. 3.1 - Prob. 10MRE Ch. 3.1 - Prob. 11MRE Ch. 3.1 - Prob. 12MRE Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.2 - Prob. 1OE Ch. 3.2 - Prob. 2OE Ch. 3.2 - Prob. 3OE Ch. 3.2 - Prob. 4OE Ch. 3.2 - Prob. 5OE Ch. 3.2 - Prob. 6OE Ch. 3.2 - Prob. 7OE Ch. 3.2 - Prob. 8OE Ch. 3.2 - Prob. 9OE Ch. 3.2 - Prob. 10OE Ch. 3.2 - Prob. 11OE Ch. 3.2 - Prob. 12OE Ch. 3.2 - Prob. 13OE Ch. 3.2 - Prob. 14OE Ch. 3.2 - Prob. 15OE Ch. 3.2 - Prob. 16OE Ch. 3.2 - Prob. 17OE Ch. 3.2 - Prob. 18OE Ch. 3.2 - Prob. 1WE Ch. 3.2 - Prob. 2WE Ch. 3.2 - Prob. 3WE Ch. 3.2 - Prob. 4WE Ch. 3.2 - Prob. 5WE Ch. 3.2 - Prob. 6WE Ch. 3.2 - Prob. 7WE Ch. 3.2 - Prob. 8WE Ch. 3.2 - Prob. 9WE Ch. 3.2 - Prob. 10WE Ch. 3.2 - Prob. 11WE Ch. 3.2 - Prob. 12WE Ch. 3.2 - Prob. 13WE Ch. 3.2 - Prob. 14WE Ch. 3.2 - Prob. 15WE Ch. 3.2 - Prob. 16WE Ch. 3.2 - Prob. 17WE Ch. 3.2 - Prob. 18WE Ch. 3.2 - Prob. 19WE Ch. 3.2 - Prob. 20WE Ch. 3.2 - Prob. 21WE Ch. 3.2 - 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Prob. 19P Ch. 3.2 - Prob. 20P Ch. 3.2 - Prob. 1MRE Ch. 3.2 - Prob. 2MRE Ch. 3.2 - Prob. 3MRE Ch. 3.2 - Prob. 4MRE Ch. 3.2 - Prob. 5MRE Ch. 3.2 - Prob. 6MRE Ch. 3.2 - Prob. 7MRE Ch. 3.2 - Prob. 8MRE Ch. 3.2 - Prob. 9MRE Ch. 3.2 - Prob. 10MRE Ch. 3.2 - Prob. 11MRE Ch. 3.2 - Prob. 12MRE Ch. 3.3 - Prob. 1OE Ch. 3.3 - Prob. 2OE Ch. 3.3 - Prob. 3OE Ch. 3.3 - Prob. 4OE Ch. 3.3 - Prob. 5OE Ch. 3.3 - Prob. 6OE Ch. 3.3 - Prob. 7OE Ch. 3.3 - Prob. 8OE Ch. 3.3 - Prob. 9OE Ch. 3.3 - Prob. 10OE Ch. 3.3 - Prob. 11OE Ch. 3.3 - Prob. 12OE Ch. 3.3 - Prob. 13OE Ch. 3.3 - Prob. 14OE Ch. 3.3 - Prob. 15OE Ch. 3.3 - Prob. 16OE Ch. 3.3 - Prob. 17OE Ch. 3.3 - Prob. 18OE Ch. 3.3 - Prob. 1WE Ch. 3.3 - Prob. 2WE Ch. 3.3 - Prob. 3WE Ch. 3.3 - Prob. 4WE Ch. 3.3 - Prob. 5WE Ch. 3.3 - Prob. 6WE Ch. 3.3 - Prob. 7WE Ch. 3.3 - Prob. 8WE Ch. 3.3 - Prob. 9WE Ch. 3.3 - Prob. 10WE Ch. 3.3 - Prob. 11WE Ch. 3.3 - Prob. 12WE Ch. 3.3 - Prob. 13WE Ch. 3.3 - Prob. 14WE Ch. 3.3 - Prob. 15WE Ch. 3.3 - Prob. 16WE Ch. 3.3 - Prob. 17WE Ch. 3.3 - Prob. 18WE Ch. 3.3 - Prob. 19WE Ch. 3.3 - Prob. 20WE Ch. 3.3 - Prob. 21WE Ch. 3.3 - Prob. 22WE Ch. 3.3 - Prob. 23WE Ch. 3.3 - Prob. 24WE Ch. 3.3 - Prob. 25WE Ch. 3.3 - Prob. 26WE Ch. 3.3 - Prob. 27WE Ch. 3.3 - Prob. 28WE Ch. 3.3 - Prob. 29WE Ch. 3.3 - Prob. 30WE Ch. 3.3 - Prob. 31WE Ch. 3.3 - Prob. 32WE Ch. 3.3 - Prob. 33WE Ch. 3.3 - Prob. 34WE Ch. 3.3 - Prob. 35WE Ch. 3.3 - Prob. 36WE Ch. 3.3 - Prob. 37WE Ch. 3.3 - Prob. 38WE Ch. 3.3 - Prob. 39WE Ch. 3.3 - Prob. 40WE Ch. 3.3 - Prob. 41WE Ch. 3.3 - Prob. 42WE Ch. 3.3 - Prob. 43WE Ch. 3.3 - Prob. 44WE Ch. 3.3 - Prob. 45WE Ch. 3.3 - Prob. 46WE Ch. 3.3 - Prob. 47WE Ch. 3.3 - Prob. 48WE Ch. 3.3 - Prob. 49WE Ch. 3.3 - Prob. 50WE Ch. 3.3 - Prob. 51WE Ch. 3.3 - Prob. 52WE Ch. 3.3 - Prob. 53WE Ch. 3.3 - Prob. 54WE Ch. 3.3 - Prob. 55WE Ch. 3.3 - Prob. 56WE Ch. 3.3 - Prob. 57WE Ch. 3.3 - Prob. 58WE Ch. 3.3 - Prob. 59WE Ch. 3.3 - Prob. 60WE Ch. 3.3 - Prob. 1MRE Ch. 3.3 - Prob. 2MRE Ch. 3.3 - Prob. 3MRE Ch. 3.3 - Prob. 4MRE Ch. 3.3 - Prob. 5MRE Ch. 3.3 - Prob. 6MRE Ch. 3.3 - Prob. 7MRE Ch. 3.3 - Prob. 8MRE Ch. 3.3 - Prob. 9MRE Ch. 3.3 - Prob. 10MRE Ch. 3.3 - Prob. 11MRE Ch. 3.3 - Prob. 12MRE Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.4 - Prob. 1P Ch. 3.4 - Prob. 2P Ch. 3.4 - Prob. 3P Ch. 3.4 - Prob. 4P Ch. 3.4 - Prob. 5P Ch. 3.4 - Prob. 6P Ch. 3.4 - Prob. 7P Ch. 3.4 - Prob. 8P Ch. 3.4 - Prob. 9P Ch. 3.4 - Prob. 10P Ch. 3.4 - Prob. 11P Ch. 3.4 - Prob. 12P Ch. 3.4 - Prob. 13P Ch. 3.4 - Prob. 14P Ch. 3.4 - Prob. 15P Ch. 3.4 - Prob. 16P Ch. 3.4 - Prob. 17P Ch. 3.4 - Prob. 18P Ch. 3.4 - Prob. 19P Ch. 3.4 - Prob. 20P Ch. 3.4 - Prob. 21P Ch. 3.4 - Prob. 22P Ch. 3.4 - Prob. 23P Ch. 3.4 - Prob. 24P Ch. 3.4 - Prob. 25P Ch. 3.4 - Prob. 26P Ch. 3.4 - Prob. 27P Ch. 3.4 - Prob. 28P Ch. 3.4 - Prob. 29P Ch. 3.4 - Prob. 30P Ch. 3.4 - Prob. 31P Ch. 3.4 - Prob. 32P Ch. 3.4 - Prob. 33P Ch. 3.4 - Prob. 1MRE Ch. 3.4 - Prob. 2MRE Ch. 3.4 - Prob. 3MRE Ch. 3.4 - Prob. 4MRE Ch. 3.4 - Prob. 5MRE Ch. 3.4 - Prob. 6MRE Ch. 3.4 - Prob. 7MRE Ch. 3.4 - Prob. 8MRE Ch. 3.4 - Prob. 9MRE Ch. 3.4 - Prob. 10MRE Ch. 3.4 - Prob. 11MRE Ch. 3.4 - Prob. 12MRE Ch. 3.5 - Prob. 1OE Ch. 3.5 - Prob. 2OE Ch. 3.5 - Prob. 3OE Ch. 3.5 - Prob. 4OE Ch. 3.5 - Prob. 5OE Ch. 3.5 - Prob. 6OE Ch. 3.5 - Prob. 7OE Ch. 3.5 - Prob. 8OE Ch. 3.5 - Prob. 9OE Ch. 3.5 - Prob. 10OE Ch. 3.5 - Prob. 11OE Ch. 3.5 - Prob. 12OE Ch. 3.5 - Prob. 1WE Ch. 3.5 - Prob. 2WE Ch. 3.5 - Prob. 3WE Ch. 3.5 - Prob. 4WE Ch. 3.5 - Prob. 5WE Ch. 3.5 - Prob. 6WE Ch. 3.5 - Prob. 7WE Ch. 3.5 - Prob. 8WE Ch. 3.5 - Prob. 9WE Ch. 3.5 - Prob. 10WE Ch. 3.5 - Prob. 11WE Ch. 3.5 - Prob. 12WE Ch. 3.5 - Prob. 13WE Ch. 3.5 - Prob. 14WE Ch. 3.5 - Prob. 15WE Ch. 3.5 - Prob. 16WE Ch. 3.5 - Prob. 17WE Ch. 3.5 - Prob. 18WE Ch. 3.5 - Prob. 19WE Ch. 3.5 - Prob. 20WE Ch. 3.5 - Prob. 21WE Ch. 3.5 - Prob. 22WE Ch. 3.5 - Prob. 23WE Ch. 3.5 - Prob. 24WE Ch. 3.5 - Prob. 25WE Ch. 3.5 - Prob. 26WE Ch. 3.5 - Prob. 27WE Ch. 3.5 - Prob. 28WE Ch. 3.5 - Prob. 29WE Ch. 3.5 - Prob. 30WE Ch. 3.5 - Prob. 31WE Ch. 3.5 - Prob. 32WE Ch. 3.5 - Prob. 33WE Ch. 3.5 - Prob. 34WE Ch. 3.5 - Prob. 35WE Ch. 3.5 - Prob. 36WE Ch. 3.5 - Prob. 37WE Ch. 3.5 - Prob. 38WE Ch. 3.5 - Prob. 39WE Ch. 3.5 - Prob. 40WE Ch. 3.5 - Prob. 41WE Ch. 3.5 - Prob. 42WE Ch. 3.5 - Prob. 43WE Ch. 3.5 - Prob. 44WE Ch. 3.5 - Prob. 45WE Ch. 3.5 - Prob. 46WE Ch. 3.5 - Prob. 47WE Ch. 3.5 - Prob. 48WE Ch. 3.5 - Prob. 1P Ch. 3.5 - Prob. 2P Ch. 3.5 - Prob. 3P Ch. 3.5 - Prob. 4P Ch. 3.5 - Prob. 5P Ch. 3.5 - Prob. 6P Ch. 3.5 - Prob. 7P Ch. 3.5 - Prob. 8P Ch. 3.5 - Prob. 9P Ch. 3.5 - Prob. 10P Ch. 3.5 - Prob. 11P Ch. 3.5 - Prob. 12P Ch. 3.5 - Prob. 13P Ch. 3.5 - Prob. 14P Ch. 3.5 - Prob. 15P Ch. 3.5 - Prob. 16P Ch. 3.5 - Prob. 17P Ch. 3.5 - Prob. 18P Ch. 3.5 - Prob. 19P Ch. 3.5 - Prob. 20P Ch. 3.5 - Prob. 1MRE Ch. 3.5 - Prob. 2MRE Ch. 3.5 - Prob. 3MRE Ch. 3.5 - Prob. 4MRE Ch. 3.5 - Prob. 5MRE Ch. 3.5 - Prob. 6MRE Ch. 3.5 - Prob. 7MRE Ch. 3.5 - Prob. 8MRE Ch. 3.5 - Prob. 9MRE Ch. 3.5 - Prob. 10MRE Ch. 3.5 - Prob. 11MRE Ch. 3.5 - Prob. 12MRE Ch. 3.5 - Prob. 1CE Ch. 3.5 - Prob. 2CE Ch. 3.5 - Prob. 3CE Ch. 3.5 - Prob. 4CE Ch. 3.5 - Prob. 5CE Ch. 3.5 - Prob. 6CE Ch. 3.5 - Prob. 1ST Ch. 3.5 - Prob. 2ST Ch. 3.5 - Prob. 3ST Ch. 3.5 - Prob. 4ST Ch. 3.6 - Prob. 1OE Ch. 3.6 - Prob. 2OE Ch. 3.6 - Prob. 3OE Ch. 3.6 - Prob. 1P Ch. 3.6 - Prob. 2P Ch. 3.6 - Prob. 3P Ch. 3.6 - Prob. 4P Ch. 3.6 - Prob. 5P Ch. 3.6 - Prob. 6P Ch. 3.6 - Prob. 7P Ch. 3.6 - Prob. 8P Ch. 3.6 - Prob. 9P Ch. 3.6 - Prob. 10P Ch. 3.6 - Prob. 11P Ch. 3.6 - Prob. 12P Ch. 3.6 - Prob. 13P Ch. 3.6 - Prob. 14P Ch. 3.6 - Prob. 15P Ch. 3.6 - Prob. 16P Ch. 3.6 - Prob. 17P Ch. 3.6 - Prob. 18P Ch. 3.6 - Prob. 19P Ch. 3.6 - Prob. 20P Ch. 3.6 - Prob. 1MRE Ch. 3.6 - Prob. 2MRE Ch. 3.6 - Prob. 3MRE Ch. 3.6 - Prob. 4MRE Ch. 3.6 - Prob. 5MRE Ch. 3.6 - Prob. 6MRE Ch. 3.6 - Prob. 7MRE Ch. 3.6 - Prob. 8MRE Ch. 3.6 - Prob. 9MRE Ch. 3.6 - Prob. 10MRE Ch. 3.6 - Prob. 11MRE Ch. 3.6 - Prob. 12MRE Ch. 3.7 - Prob. 1OE Ch. 3.7 - Prob. 2OE Ch. 3.7 - Prob. 1P Ch. 3.7 - Prob. 2P Ch. 3.7 - Prob. 3P Ch. 3.7 - Prob. 4P Ch. 3.7 - Prob. 5P Ch. 3.7 - Prob. 6P Ch. 3.7 - Prob. 7P Ch. 3.7 - Prob. 8P Ch. 3.7 - Prob. 9P Ch. 3.7 - Prob. 10P Ch. 3.7 - Prob. 11P Ch. 3.7 - Prob. 12P Ch. 3.7 - Prob. 13P Ch. 3.7 - Prob. 14P Ch. 3.7 - Prob. 15P Ch. 3.7 - Prob. 16P Ch. 3.7 - Prob. 17P Ch. 3.7 - Prob. 18P Ch. 3.7 - Prob. 1MRE Ch. 3.7 - Prob. 2MRE Ch. 3.7 - Prob. 3MRE Ch. 3.7 - Prob. 4MRE Ch. 3.7 - Prob. 5MRE Ch. 3.7 - Prob. 6MRE Ch. 3.7 - Prob. 7MRE Ch. 3.7 - Prob. 8MRE Ch. 3.7 - Prob. 9MRE Ch. 3.7 - Prob. 1CE Ch. 3.7 - Prob. 2CE Ch. 3.8 - Prob. 1OE Ch. 3.8 - Prob. 2OE Ch. 3.8 - Prob. 3OE Ch. 3.8 - Prob. 1WE Ch. 3.8 - Prob. 2WE Ch. 3.8 - Prob. 3WE Ch. 3.8 - Prob. 4WE Ch. 3.8 - Prob. 5WE Ch. 3.8 - Prob. 6WE Ch. 3.8 - Prob. 7WE Ch. 3.8 - Prob. 8WE Ch. 3.8 - Prob. 9WE Ch. 3.8 - Prob. 10WE Ch. 3.8 - Prob. 11WE Ch. 3.8 - Prob. 1MRE Ch. 3.8 - Prob. 2MRE Ch. 3.8 - Prob. 3MRE Ch. 3.8 - Prob. 4MRE Ch. 3.8 - Prob. 5MRE Ch. 3.8 - Prob. 6MRE Ch. 3.8 - Prob. 7MRE Ch. 3.8 - Prob. 8MRE Ch. 3.8 - Prob. 9MRE Ch. 3.8 - Prob. 10MRE Ch. 3.8 - Prob. 11MRE Ch. 3.8 - 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