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