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Chapter 2: Q. 495 (page 209)

In your own words, explain how to solve the absolute value inequality, |3x 鈭� 2| 鈮� 4.

Short Answer

Expert verified

We write the inequalities like: 3x-2>4or3x-2<-4.

Step by step solution

01

Given

The absolute value inequality, |3x 鈭� 2| 鈮� 4.

02

To find

In your own words, explain how to solve the absolute value inequality, |3x 鈭� 2| 鈮� 4.

03

Explanation

Since the absolute value is greater than 4. So the actual value of 3x-2is either greater than 4 or less than -4.

We write the inequalities like:

role="math" localid="1644438731230" 3x-2>4or3x-2<-4.

Then we solve them for x.

3x-2>43x>6x>2

And

3x-2<-43x<-2x<-23

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