# Math Help - Inequalities Problem

1. ## Inequalities Problem

I can't do this homework!

How can i solve this?
|2x-1| < 3-x

Thank you for helping...

2. ## Re: Inequalities Problem

Express $|2x-1|=\begin{Bmatrix} 2x-1 & \mbox{ if }& x\geq 1/2\\-2x+1 & \mbox{ if }& x<1/2\end{matrix}$

Let us see what do you obtain (work your homework).

3. ## Re: Inequalities Problem

Originally Posted by chumchumy
I can't do this homework!

How can i solve this?
|2x-1| < 3-x

Thank you for helping...
You should know that if $\displaystyle |X| < a$ then $\displaystyle -a < X < a$.

So in your case $\displaystyle |2x-1| < 3-x \implies -(3-x) < 2x-1 < 3-x$