EBK PRECALCULUS W/LIMITS

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter A.6, Problem 84E

To determine

Find an inequality that describes all real numbers no more than 7 units from6.

Expert Solution & Answer

Answer to Problem 84E

The inequality that describes all real numbers no more than 7 units from6is |x+6|<7

Explanation of Solution

Given:

The real numbers no more than 7 units from6.

Let’s find an inequality that describes all real numbers no more than 7 units from6

Above statement means that all real numbers should be no more than −6+7 =1 of all real

numbers should be no less than −6−7=−13 .

This can be expressed as

−13 <x <1

Add 6 to all parts

−13+6<x+6<1+6−7<x+6<7

The solutions of |x| <a are all values of x that lie between −a and a .

|x|<a If and only if −a<x<a .

Therefore answer is |x+6|<7 .

Chapter A.6, Problem 83E

Chapter A.6, Problem 85E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

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