# Inequality with absolute value.

#### oooppp2

##### New member
Solve 2x - |x+1| < 4.

#### Ackbach

##### Indicium Physicus
Staff member
Re: Inequality with abs

What have you tried?

#### oooppp2

##### New member
Re: Inequality with abs

I tried this

(you can pretty much ignore the table and go straight to case a and case b.

2013-10-31 20.14.27.jpg

#### Ackbach

##### Indicium Physicus
Staff member
Re: Inequality with abs

So where are you stuck? You're almost there!

#### SuperSonic4

##### Well-known member
MHB Math Helper
Re: Inequality with abs

You're virtually done now, time to smash the final obstacle

#### oooppp2

##### New member
Re: Inequality with abs

Isn't $x<5$ the correct answer?

#### Ackbach

##### Indicium Physicus
Staff member
Re: Inequality with abs

You have to think logic here. Do both sides of your solution have to be true at the same time (logical AND), or does only one of them have to be true at a time (logical OR)?

#### oooppp2

##### New member
Re: Inequality with abs

Would this be a better answer "for x<-1 we have x<1 and for x>-1 we have x<5" since it's a bit more broad?