EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
3rd Edition
ISBN: 9781285607160
Author: Larson
Publisher: CENGAGE CO
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Chapter A.6, Problem 74E

a .

To determine

To solve:The inequality by graphical analysis and approximate the value of x for satisfy the given inequality.

a .

Expert Solution
Check Mark

Answer to Problem 74E

The inequality of x is −10≤x≤6 .

Explanation of Solution

Given:

  y=|12x+1|,y≤4

  y=|12x+1|

be a given equation and y≤4 be given inequality and it has to use graphing utility to graph the equation.

  EBK PRECALCULUS W/LIMITS, Chapter A.6, Problem 74E , additional homework tip 1

  y=|12x+1|

When value of y is 4 then, value of x is lies between −10 and 6 .

  y=|12x+1|    4=|12x+1|         4=±(12x+1)     4=12x+1                  4=−12x−13=12x                      5=−12xx=6                        x=−10

When value of y is 3 then, value of x is lies between −8 and 4 .

  y=|12x+1|    3=|12x+1|         3=±(12x+1)     3=12x+1                  3=−12x−12=12x                      4=−12xx=4                        x=−8

Hence the inequality of x is −10≤x≤6 .

b .

To determine

To solve: The inequality by graphical analysis and approximate the value of x for satisfy the given inequality.

b .

Expert Solution
Check Mark

Answer to Problem 74E

The inequality of x is −4≤x≤0 .

Explanation of Solution

Given:

  y=|12x+1|,y≥1

  y=|12x+1|

be a given equation and y≥1 be given inequality and it has to use graphing utility to graph the equation.

  EBK PRECALCULUS W/LIMITS, Chapter A.6, Problem 74E , additional homework tip 2

  y=|12x+1|

When value of y is 1 then, value of x is lies between −4 and 0 .

  y=|12x+1|    1=|12x+1|         1=±(12x+1)     1=12x+1                  1=−12x−10=12x                      2=−12xx=0                        x=−4

When value of y is 2 then, value of x is lies between −6 and 2 .

  y=|12x+1|    2=|12x+1|         2=±(12x+1)     2=12x+1                  2=−12x−11=12x                      3=−12xx=2                        x=−6

Hence the inequality of x is −4≤x≤0 .

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Chapter A.6, Problem 73E
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Chapter A.6, Problem 75E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1ECh. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10E
Ch. A.1 - Prob. 11ECh. A.1 - Prob. 12ECh. A.1 - Prob. 13ECh. A.1 - Prob. 14ECh. A.1 - Prob. 15ECh. A.1 - Prob. 16ECh. A.1 - Prob. 17ECh. A.1 - Prob. 18ECh. A.1 - Prob. 19ECh. A.1 - Prob. 20ECh. A.1 - Prob. 21ECh. A.1 - Prob. 22ECh. A.1 - Prob. 23ECh. A.1 - Prob. 24ECh. A.1 - Prob. 25ECh. A.1 - Prob. 26ECh. A.1 - Prob. 27ECh. A.1 - Prob. 28ECh. A.1 - Prob. 29ECh. A.1 - Prob. 30ECh. A.1 - Prob. 31ECh. A.1 - Prob. 32ECh. A.1 - Prob. 33ECh. A.1 - Prob. 34ECh. A.1 - Prob. 35ECh. A.1 - Prob. 36ECh. A.1 - Prob. 37ECh. A.1 - Prob. 38ECh. A.1 - Prob. 39ECh. A.1 - Prob. 40ECh. A.1 - Prob. 41ECh. A.1 - Prob. 42ECh. A.1 - Prob. 43ECh. A.1 - Prob. 44ECh. A.1 - Prob. 45ECh. A.1 - Prob. 46ECh. A.1 - Prob. 47ECh. A.1 - Prob. 48ECh. A.1 - Prob. 49ECh. A.1 - Prob. 50ECh. A.1 - Prob. 51ECh. A.1 - Prob. 52ECh. A.1 - Prob. 53ECh. A.1 - Prob. 54ECh. A.1 - Prob. 55ECh. A.1 - Prob. 56ECh. A.1 - Prob. 57ECh. A.1 - Prob. 58ECh. A.1 - Prob. 59ECh. A.1 - Prob. 60ECh. A.1 - Prob. 61ECh. A.1 - Prob. 62ECh. 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A.3 - Prob. 108ECh. A.4 - Prob. 1ECh. A.4 - Prob. 2ECh. A.4 - Prob. 3ECh. A.4 - Prob. 4ECh. A.4 - Prob. 5ECh. A.4 - Prob. 6ECh. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - Prob. 9ECh. A.4 - Prob. 10ECh. A.4 - Prob. 11ECh. A.4 - Prob. 12ECh. A.4 - Prob. 13ECh. A.4 - Prob. 14ECh. A.4 - Prob. 15ECh. A.4 - Prob. 16ECh. A.4 - Prob. 17ECh. A.4 - Prob. 18ECh. A.4 - Prob. 19ECh. A.4 - Prob. 20ECh. A.4 - Prob. 21ECh. A.4 - Prob. 22ECh. A.4 - Prob. 23ECh. A.4 - Prob. 24ECh. A.4 - Prob. 25ECh. A.4 - Prob. 26ECh. A.4 - Prob. 27ECh. A.4 - Prob. 28ECh. A.4 - Prob. 29ECh. A.4 - Prob. 30ECh. A.4 - Prob. 31ECh. A.4 - Prob. 32ECh. A.4 - Prob. 33ECh. A.4 - Prob. 34ECh. A.4 - Prob. 35ECh. A.4 - Prob. 36ECh. A.4 - Prob. 37ECh. A.4 - Prob. 38ECh. A.4 - Prob. 39ECh. A.4 - Prob. 40ECh. A.4 - Prob. 41ECh. A.4 - Prob. 42ECh. A.4 - Prob. 43ECh. A.4 - Prob. 44ECh. A.4 - Prob. 45ECh. A.4 - Prob. 46ECh. A.4 - Prob. 47ECh. A.4 - Prob. 48ECh. A.4 - Prob. 49ECh. A.4 - Prob. 50ECh. A.4 - Prob. 51ECh. A.4 - Prob. 52ECh. 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