Inequality with absolute value.

[oooppp2]

Solve 2x - |x+1| < 4.

 

[Ackbach]

Re: Inequality with abs

What have you tried?

 

[oooppp2]

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]

Re: Inequality with abs

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

 

[SuperSonic4]

Re: Inequality with abs

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

 

[oooppp2]

Re: Inequality with abs

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

 

[Ackbach]

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]

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?