EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
4th Edition
ISBN: 9781337516853
Author: Larson
Publisher: CENGAGE CO
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Question
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Chapter A.6, Problem 79E
To determine

Find the interval on the real number line of the given using absolute value notation .

Expert Solution & Answer
Check Mark

Answer to Problem 79E

The absolute value notation of the given |x−7|≥3

Explanation of Solution

Given:

The figure

  EBK PRECALCULUS W/LIMITS, Chapter A.6, Problem 79E , additional homework tip 1

Let consider the following figure.

  EBK PRECALCULUS W/LIMITS, Chapter A.6, Problem 79E , additional homework tip 2

On analyzing the above figure, it is found that x is either less than or equal to 4 or greater than or equal to 10.

Therefore, it can be written as

  x≤4←(1)ORx≥10←(2)

Using the property that the solutions of |x|≤a are all values of x that are less than −a and greater than a .

That is |x|≤a if and only if x<−a or x>a .

By subtracting 7 from both sides. Eqn (1) can be written as

  x−7≤−3

And by subtracting 7 from both the sides, Eqn (2) can be written as

  x−7≥3

Therefore, the absolute value notation comes out to be,

  |x−7|≥3

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Chapter A.6, Problem 78E
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Chapter A.6, Problem 80E

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.4 - Prob. 79ECh. A.4 - Prob. 80ECh. A.5 - Prob. 1ECh. A.5 - Prob. 2ECh. A.5 - Prob. 3ECh. A.5 - Prob. 4ECh. A.5 - Prob. 5ECh. A.5 - Prob. 6ECh. A.5 - Prob. 7ECh. A.5 - Prob. 8ECh. A.5 - Prob. 9ECh. A.5 - Prob. 10ECh. A.5 - Prob. 11ECh. A.5 - Prob. 12ECh. A.5 - Prob. 13ECh. A.5 - Prob. 14ECh. A.5 - Prob. 15ECh. A.5 - Prob. 16ECh. A.5 - Prob. 17ECh. A.5 - Prob. 18ECh. A.5 - Prob. 19ECh. A.5 - Prob. 20ECh. A.5 - Prob. 21ECh. A.5 - Prob. 22ECh. A.5 - Prob. 23ECh. A.5 - Prob. 24ECh. A.5 - Prob. 25ECh. A.5 - Prob. 26ECh. A.5 - Prob. 27ECh. A.5 - Prob. 28ECh. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - Prob. 31ECh. A.5 - Prob. 32ECh. A.5 - Prob. 33ECh. A.5 - Prob. 34ECh. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - Prob. 37ECh. A.5 - Prob. 38ECh. A.5 - Prob. 39ECh. A.5 - Prob. 40ECh. A.5 - Prob. 41ECh. A.5 - Prob. 42ECh. A.5 - Prob. 43ECh. A.5 - Prob. 44ECh. A.5 - Prob. 45ECh. A.5 - Prob. 46ECh. A.5 - Prob. 47ECh. A.5 - Prob. 48ECh. A.5 - Prob. 49ECh. A.5 - Prob. 50ECh. A.5 - Prob. 51ECh. 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A.6 - Prob. 4ECh. A.6 - Prob. 5ECh. A.6 - Prob. 6ECh. A.6 - Prob. 7ECh. A.6 - Prob. 8ECh. A.6 - Prob. 9ECh. A.6 - Prob. 10ECh. A.6 - Prob. 11ECh. A.6 - Prob. 12ECh. A.6 - Prob. 13ECh. A.6 - Prob. 14ECh. A.6 - Prob. 15ECh. A.6 - Prob. 16ECh. A.6 - Prob. 17ECh. A.6 - Prob. 18ECh. A.6 - Prob. 19ECh. A.6 - Prob. 20ECh. A.6 - Prob. 21ECh. A.6 - Prob. 22ECh. A.6 - Prob. 23ECh. A.6 - Prob. 24ECh. A.6 - Prob. 25ECh. A.6 - Prob. 26ECh. A.6 - Prob. 27ECh. A.6 - Prob. 28ECh. A.6 - Prob. 29ECh. A.6 - Prob. 30ECh. A.6 - Prob. 31ECh. A.6 - Prob. 32ECh. A.6 - Prob. 33ECh. A.6 - Prob. 34ECh. A.6 - Prob. 35ECh. A.6 - Prob. 36ECh. A.6 - Prob. 37ECh. A.6 - Prob. 38ECh. A.6 - Prob. 39ECh. A.6 - Prob. 40ECh. A.6 - Prob. 41ECh. A.6 - Prob. 42ECh. A.6 - Prob. 43ECh. A.6 - Prob. 44ECh. A.6 - Prob. 45ECh. A.6 - Prob. 46ECh. A.6 - Prob. 47ECh. A.6 - Prob. 48ECh. A.6 - Prob. 49ECh. A.6 - Prob. 50ECh. A.6 - Prob. 51ECh. A.6 - Prob. 52ECh. A.6 - Prob. 53ECh. A.6 - Prob. 54ECh. A.6 - Prob. 55ECh. 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