Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(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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Chapter 10, Problem 38CLR
To determine

Find the solution of the given equation, inequality, or system.

Expert Solution & Answer
Check Mark

Answer to Problem 38CLR

The solution of the given inequality is (−13,1) .

Explanation of Solution

Given:

The given inequality is 2|3x−1|+1<5 .

Calculation:

  2|3x−1|+1<5

Subtract 1 from both sides.

  ⇒2|3x−1|+1−1<5−1⇒2|3x−1|<4

Divide both sides by 2 .

  ⇒22|3x−1|<42⇒|3x−1|<2

Use absolute property.

If |z|<a,a>0 then −a<|z|<a .

  ⇒3x−1<2

Add 1 to both sides.

  ⇒3x−1+1<2+1⇒3x<3

Divide both sides by 3 .

  ⇒33x<33⇒x<1

And

  ⇒3x−1>−2

Add 1 to both sides.

  ⇒3x−1+1>−2+1⇒3x>−1

Divide both sides by 3 .

  ⇒33x>−13⇒x>−13

The graph of solution set is given below.

  Algebra: Structure And Method, Book 1, Chapter 10, Problem 38CLR

Hence the solution of the given inequality is (−13,1) .

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Chapter 10, Problem 37CLR
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Chapter 10, Problem 39CLR

Chapter 10 Solutions

Algebra: Structure And Method, Book 1

Ch. 10.1 - Prob. 1OECh. 10.1 - Prob. 2OECh. 10.1 - Prob. 3OECh. 10.1 - Prob. 4OECh. 10.1 - Prob. 5OECh. 10.1 - Prob. 6OECh. 10.1 - Prob. 7OECh. 10.1 - Prob. 8OECh. 10.1 - Prob. 9OECh. 10.1 - Prob. 10OE
Ch. 10.1 - Prob. 11OECh. 10.1 - Prob. 12OECh. 10.1 - Prob. 13OECh. 10.1 - Prob. 14OECh. 10.1 - Prob. 15OECh. 10.1 - Prob. 16OECh. 10.1 - Prob. 17OECh. 10.1 - Prob. 18OECh. 10.1 - Prob. 19OECh. 10.1 - Prob. 20OECh. 10.1 - Prob. 1WECh. 10.1 - Prob. 2WECh. 10.1 - Prob. 3WECh. 10.1 - Prob. 4WECh. 10.1 - Prob. 5WECh. 10.1 - Prob. 6WECh. 10.1 - Prob. 7WECh. 10.1 - Prob. 8WECh. 10.1 - Prob. 9WECh. 10.1 - Prob. 10WECh. 10.1 - Prob. 11WECh. 10.1 - Prob. 12WECh. 10.1 - Prob. 13WECh. 10.1 - Prob. 14WECh. 10.1 - Prob. 15WECh. 10.1 - Prob. 16WECh. 10.1 - Prob. 17WECh. 10.1 - Prob. 18WECh. 10.1 - Prob. 19WECh. 10.1 - Prob. 20WECh. 10.1 - Prob. 21WECh. 10.1 - Prob. 22WECh. 10.1 - Prob. 23WECh. 10.1 - Prob. 24WECh. 10.1 - Prob. 25WECh. 10.1 - Prob. 26WECh. 10.1 - Prob. 27WECh. 10.1 - Prob. 28WECh. 10.1 - Prob. 29WECh. 10.1 - Prob. 30WECh. 10.1 - Prob. 31WECh. 10.1 - Prob. 32WECh. 10.1 - Prob. 33WECh. 10.1 - Prob. 34WECh. 10.1 - Prob. 35WECh. 10.1 - Prob. 36WECh. 10.1 - Prob. 37WECh. 10.1 - Prob. 38WECh. 10.1 - Prob. 39WECh. 10.1 - Prob. 40WECh. 10.1 - Prob. 1CECh. 10.1 - Prob. 2CECh. 10.1 - Prob. 3CECh. 10.1 - Prob. 4CECh. 10.1 - Prob. 5CECh. 10.1 - Prob. 1MRECh. 10.1 - Prob. 2MRECh. 10.1 - Prob. 3MRECh. 10.1 - Prob. 4MRECh. 10.1 - Prob. 5MRECh. 10.1 - Prob. 6MRECh. 10.1 - Prob. 7MRECh. 10.1 - Prob. 8MRECh. 10.1 - Prob. 9MRECh. 10.1 - Prob. 10MRECh. 10.1 - Prob. 11MRECh. 10.1 - Prob. 12MRECh. 10.2 - Prob. 1OECh. 10.2 - Prob. 2OECh. 10.2 - Prob. 3OECh. 10.2 - Prob. 4OECh. 10.2 - Prob. 5OECh. 10.2 - Prob. 6OECh. 10.2 - Prob. 7OECh. 10.2 - Prob. 8OECh. 10.2 - Prob. 9OECh. 10.2 - Prob. 10OECh. 10.2 - Prob. 11OECh. 10.2 - Prob. 12OECh. 10.2 - Prob. 13OECh. 10.2 - Prob. 14OECh. 10.2 - Prob. 15OECh. 10.2 - Prob. 16OECh. 10.2 - Prob. 17OECh. 10.2 - Prob. 18OECh. 10.2 - Prob. 1WECh. 10.2 - Prob. 2WECh. 10.2 - Prob. 3WECh. 10.2 - Prob. 4WECh. 10.2 - Prob. 5WECh. 10.2 - Prob. 6WECh. 10.2 - Prob. 7WECh. 10.2 - Prob. 8WECh. 10.2 - Prob. 9WECh. 10.2 - Prob. 10WECh. 10.2 - Prob. 11WECh. 10.2 - Prob. 12WECh. 10.2 - Prob. 13WECh. 10.2 - Prob. 14WECh. 10.2 - Prob. 15WECh. 10.2 - Prob. 16WECh. 10.2 - Prob. 17WECh. 10.2 - Prob. 18WECh. 10.2 - Prob. 19WECh. 10.2 - Prob. 20WECh. 10.2 - Prob. 21WECh. 10.2 - Prob. 22WECh. 10.2 - Prob. 23WECh. 10.2 - Prob. 24WECh. 10.2 - Prob. 25WECh. 10.2 - Prob. 26WECh. 10.2 - Prob. 27WECh. 10.2 - Prob. 28WECh. 10.2 - Prob. 29WECh. 10.2 - Prob. 30WECh. 10.2 - Prob. 31WECh. 10.2 - Prob. 32WECh. 10.2 - Prob. 33WECh. 10.2 - Prob. 34WECh. 10.2 - Prob. 35WECh. 10.2 - Prob. 36WECh. 10.2 - Prob. 37WECh. 10.2 - Prob. 38WECh. 10.2 - Prob. 39WECh. 10.2 - Prob. 40WECh. 10.2 - Prob. 41WECh. 10.2 - Prob. 42WECh. 10.2 - Prob. 43WECh. 10.2 - Prob. 44WECh. 10.2 - Prob. 45WECh. 10.2 - Prob. 46WECh. 10.2 - Prob. 47WECh. 10.2 - Prob. 48WECh. 10.2 - Prob. 49WECh. 10.2 - Prob. 50WECh. 10.2 - Prob. 51WECh. 10.2 - Prob. 52WECh. 10.2 - Prob. 53WECh. 10.2 - Prob. 54WECh. 10.2 - Prob. 55WECh. 10.2 - Prob. 56WECh. 10.2 - Prob. 57WECh. 10.2 - Prob. 58WECh. 10.2 - Prob. 59WECh. 10.2 - Prob. 60WECh. 10.2 - 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Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.4 - Prob. 1OECh. 10.4 - Prob. 2OECh. 10.4 - Prob. 3OECh. 10.4 - Prob. 4OECh. 10.4 - Prob. 5OECh. 10.4 - Prob. 6OECh. 10.4 - Prob. 7OECh. 10.4 - Prob. 8OECh. 10.4 - Prob. 9OECh. 10.4 - Prob. 10OECh. 10.4 - Prob. 11OECh. 10.4 - Prob. 12OECh. 10.4 - Prob. 1WECh. 10.4 - Prob. 2WECh. 10.4 - Prob. 3WECh. 10.4 - Prob. 4WECh. 10.4 - Prob. 5WECh. 10.4 - Prob. 6WECh. 10.4 - Prob. 7WECh. 10.4 - Prob. 8WECh. 10.4 - Prob. 9WECh. 10.4 - Prob. 10WECh. 10.4 - Prob. 11WECh. 10.4 - Prob. 12WECh. 10.4 - Prob. 13WECh. 10.4 - Prob. 14WECh. 10.4 - Prob. 15WECh. 10.4 - Prob. 16WECh. 10.4 - Prob. 17WECh. 10.4 - Prob. 18WECh. 10.4 - Prob. 19WECh. 10.4 - Prob. 20WECh. 10.4 - Prob. 21WECh. 10.4 - Prob. 22WECh. 10.4 - Prob. 23WECh. 10.4 - Prob. 24WECh. 10.4 - Prob. 25WECh. 10.4 - Prob. 26WECh. 10.4 - Prob. 27WECh. 10.4 - Prob. 28WECh. 10.4 - Prob. 29WECh. 10.4 - Prob. 30WECh. 10.4 - Prob. 31WECh. 10.4 - Prob. 32WECh. 10.4 - Prob. 33WECh. 10.4 - Prob. 34WECh. 10.4 - Prob. 35WECh. 10.4 - Prob. 36WECh. 10.4 - Prob. 37WECh. 10.4 - Prob. 38WECh. 10.4 - Prob. 39WECh. 10.4 - Prob. 40WECh. 10.4 - Prob. 1MRECh. 10.4 - Prob. 2MRECh. 10.4 - Prob. 3MRECh. 10.4 - Prob. 4MRECh. 10.4 - Prob. 5MRECh. 10.4 - Prob. 6MRECh. 10.4 - Prob. 7MRECh. 10.4 - Prob. 8MRECh. 10.4 - Prob. 9MRECh. 10.4 - Prob. 10MRECh. 10.4 - Prob. 11MRECh. 10.4 - Prob. 12MRECh. 10.4 - Prob. 13MRECh. 10.4 - Prob. 14MRECh. 10.5 - Prob. 1OECh. 10.5 - Prob. 2OECh. 10.5 - Prob. 3OECh. 10.5 - Prob. 4OECh. 10.5 - Prob. 5OECh. 10.5 - Prob. 6OECh. 10.5 - Prob. 7OECh. 10.5 - Prob. 8OECh. 10.5 - Prob. 9OECh. 10.5 - Prob. 10OECh. 10.5 - Prob. 11OECh. 10.5 - Prob. 12OECh. 10.5 - Prob. 13OECh. 10.5 - Prob. 14OECh. 10.5 - Prob. 15OECh. 10.5 - Prob. 16OECh. 10.5 - Prob. 17OECh. 10.5 - Prob. 18OECh. 10.5 - Prob. 1WECh. 10.5 - Prob. 2WECh. 10.5 - Prob. 3WECh. 10.5 - Prob. 4WECh. 10.5 - Prob. 5WECh. 10.5 - Prob. 6WECh. 10.5 - Prob. 7WECh. 10.5 - Prob. 8WECh. 10.5 - Prob. 9WECh. 10.5 - Prob. 10WECh. 10.5 - Prob. 11WECh. 10.5 - Prob. 12WECh. 10.5 - Prob. 13WECh. 10.5 - Prob. 14WECh. 10.5 - Prob. 15WECh. 10.5 - Prob. 16WECh. 10.5 - Prob. 17WECh. 10.5 - Prob. 18WECh. 10.5 - Prob. 19WECh. 10.5 - Prob. 20WECh. 10.5 - Prob. 21WECh. 10.5 - Prob. 22WECh. 10.5 - Prob. 23WECh. 10.5 - Prob. 24WECh. 10.5 - Prob. 25WECh. 10.5 - Prob. 26WECh. 10.5 - Prob. 27WECh. 10.5 - Prob. 28WECh. 10.5 - Prob. 29WECh. 10.5 - Prob. 30WECh. 10.5 - Prob. 31WECh. 10.5 - Prob. 32WECh. 10.5 - Prob. 33WECh. 10.5 - Prob. 34WECh. 10.5 - Prob. 35WECh. 10.5 - Prob. 36WECh. 10.5 - Prob. 37WECh. 10.5 - Prob. 38WECh. 10.5 - Prob. 39WECh. 10.5 - Prob. 1MRECh. 10.5 - Prob. 2MRECh. 10.5 - Prob. 3MRECh. 10.5 - Prob. 4MRECh. 10.5 - Prob. 5MRECh. 10.5 - Prob. 6MRECh. 10.5 - Prob. 7MRECh. 10.5 - Prob. 8MRECh. 10.5 - Prob. 9MRECh. 10.5 - Prob. 10MRECh. 10.6 - Prob. 1OECh. 10.6 - Prob. 2OECh. 10.6 - Prob. 3OECh. 10.6 - Prob. 4OECh. 10.6 - Prob. 5OECh. 10.6 - Prob. 6OECh. 10.6 - Prob. 7OECh. 10.6 - Prob. 8OECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.6 - Prob. 25WECh. 10.6 - Prob. 1MRECh. 10.6 - Prob. 2MRECh. 10.6 - Prob. 3MRECh. 10.6 - Prob. 4MRECh. 10.6 - Prob. 5MRECh. 10.6 - Prob. 6MRECh. 10.6 - Prob. 7MRECh. 10.6 - Prob. 8MRECh. 10.6 - Prob. 9MRECh. 10.6 - Prob. 10MRECh. 10.6 - Prob. 11MRECh. 10.6 - Prob. 12MRECh. 10.6 - Prob. 1STCh. 10.6 - Prob. 2STCh. 10.6 - Prob. 3STCh. 10.6 - Prob. 4STCh. 10.6 - Prob. 5STCh. 10.6 - Prob. 6STCh. 10.6 - Prob. 7STCh. 10.6 - Prob. 8STCh. 10.6 - Prob. 9STCh. 10.6 - Prob. 10STCh. 10.6 - Prob. 11STCh. 10.6 - Prob. 12STCh. 10.7 - Prob. 1OECh. 10.7 - Prob. 2OECh. 10.7 - Prob. 3OECh. 10.7 - Prob. 4OECh. 10.7 - Prob. 5OECh. 10.7 - Prob. 6OECh. 10.7 - Prob. 7OECh. 10.7 - Prob. 8OECh. 10.7 - Prob. 9OECh. 10.7 - Prob. 10OECh. 10.7 - Prob. 11OECh. 10.7 - Prob. 12OECh. 10.7 - Prob. 13OECh. 10.7 - Prob. 14OECh. 10.7 - Prob. 15OECh. 10.7 - Prob. 16OECh. 10.7 - Prob. 17OECh. 10.7 - Prob. 18OECh. 10.7 - Prob. 1WECh. 10.7 - Prob. 2WECh. 10.7 - Prob. 3WECh. 10.7 - Prob. 4WECh. 10.7 - Prob. 5WECh. 10.7 - Prob. 6WECh. 10.7 - Prob. 7WECh. 10.7 - Prob. 8WECh. 10.7 - Prob. 9WECh. 10.7 - Prob. 10WECh. 10.7 - Prob. 11WECh. 10.7 - Prob. 12WECh. 10.7 - Prob. 13WECh. 10.7 - Prob. 14WECh. 10.7 - Prob. 15WECh. 10.7 - Prob. 16WECh. 10.7 - Prob. 17WECh. 10.7 - Prob. 18WECh. 10.7 - Prob. 19WECh. 10.7 - Prob. 20WECh. 10.7 - Prob. 21WECh. 10.7 - Prob. 22WECh. 10.7 - Prob. 23WECh. 10.7 - Prob. 24WECh. 10.7 - Prob. 25WECh. 10.7 - Prob. 26WECh. 10.7 - Prob. 27WECh. 10.7 - Prob. 28WECh. 10.7 - Prob. 29WECh. 10.7 - Prob. 30WECh. 10.7 - Prob. 31WECh. 10.7 - Prob. 32WECh. 10.7 - Prob. 33WECh. 10.7 - Prob. 34WECh. 10.7 - Prob. 35WECh. 10.7 - Prob. 36WECh. 10.7 - Prob. 37WECh. 10.7 - Prob. 38WECh. 10.7 - Prob. 39WECh. 10.7 - Prob. 1MRECh. 10.7 - Prob. 2MRECh. 10.7 - Prob. 3MRECh. 10.7 - Prob. 4MRECh. 10.7 - Prob. 5MRECh. 10.7 - Prob. 6MRECh. 10.7 - Prob. 7MRECh. 10.7 - Prob. 8MRECh. 10.7 - Prob. 9MRECh. 10.7 - Prob. 1ECh. 10.7 - Prob. 2ECh. 10.8 - Prob. 1OECh. 10.8 - Prob. 2OECh. 10.8 - Prob. 3OECh. 10.8 - Prob. 4OECh. 10.8 - Prob. 5OECh. 10.8 - Prob. 6OECh. 10.8 - Prob. 7OECh. 10.8 - Prob. 8OECh. 10.8 - Prob. 9OECh. 10.8 - Prob. 10OECh. 10.8 - Prob. 11OECh. 10.8 - Prob. 12OECh. 10.8 - Prob. 13OECh. 10.8 - Prob. 14OECh. 10.8 - Prob. 15OECh. 10.8 - Prob. 16OECh. 10.8 - Prob. 17OECh. 10.8 - 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