What is variable x if |3x-5|

We'll apply the absolute value property, such
as:

-8 < 3x - 5 <
8

We'll solve the left side
inequality:

-8 < 3x -
5

We'll isolate 3x to the right
side:

-8 + 5 < 3x

-3
< 3x

We'll divide by
3:

x > -1

We'll solve
the right side inequality:

3x - 5 <
8

We'll isolate 3x to the left
side:

3x < 8 + 5

3x
< 13

x < 13/3

-1
< x < 13/3

The values of x that
make the inequality to hold are located in the range (-1 ,
13/3).