# Math Help - inequality (am i correct ?)

1. ## inequality (am i correct ?)

Hi ! I think I am doing the right thing here.

Given:
Solve for the solution set:

| 7x - 1 | - 6 < 2

My solution:
-1 < x < (9/7)

My sleepy instructor says the correct solution is

-1 < x < - (9/7)

I would just like to verify. Thank you !!!

2. $\displaystyle |7x - 1| - 6 < 2$

$\displaystyle |7x - 1| < 8$

$\displaystyle -8 < 7x - 1 < 8$

$\displaystyle -7 < 7x < 9$

$\displaystyle -1 < x < \frac{9}{7}$.

3. I would hope that you instructor, no matter how sleepy, would recognize that "-1< -(9/7)" itself is not true!