## Algebra 2 Tutorial

*Solve Absolute value inequation.*

#### Intro

The absolute value has two parts so like |x| can be written as x for x>=0 and -x for x<0. So we rewrite any given absolute value terms and use the property to write in two parts. We conclude the final answer by combining the final solutions using a number line or finding common sets.

#### Sample Problem

Solve the inequality .

#### Solution

It can be written in two parts.

and

Add 5 on both sides to get

and

We get,

and .

The combined solution is .

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