Hello all, I think I almost have this but I need to fine tune something...

Here's the problem:

$\displaystyle |-3x+4|-4<-1$

Here's what I did:

1. $\displaystyle -3<-3x+4<3$

2. $\displaystyle \frac{-7}{-3}<\frac{-3}{-3}x<\frac{-1}{-3}$

3. $\displaystyle \frac{7}{3}>x>\frac{1}{3}$

My questions:

- Is my solution correct?
- Does the solution need to be rearranged? Like this: $\displaystyle \frac{1}{3}<x<\frac{7}{3}$
- What does the solution set look like? Is this acceptable? $\displaystyle [\frac{1}{3},\frac{7}{3}]$

Thank you.

-ac