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Inequality with absolute value.

oooppp2

New member
Oct 21, 2013
19
Solve 2x - |x+1| < 4.
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,191
Re: Inequality with abs

What have you tried?
 

oooppp2

New member
Oct 21, 2013
19
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
Jan 26, 2012
4,191
Re: Inequality with abs

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

SuperSonic4

Well-known member
MHB Math Helper
Mar 1, 2012
249
Re: Inequality with abs

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

oooppp2

New member
Oct 21, 2013
19
Re: Inequality with abs

Isn't $x<5$ the correct answer?
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,191
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
Oct 21, 2013
19
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?