# How do you solve  ( -3 ) / (-3x - 4 ) > 0?

Oct 9, 2015

#### Answer:

$x < \left(- \frac{4}{3}\right)$

#### Explanation:

$\frac{- 3}{- 3 x - 4} \iff \frac{3}{3 x + 4}$

If $\frac{3}{3 x + 4} < 0$
then
$\textcolor{w h i t e}{\text{XXX}} \left(3 x - 4\right)$ must be negative

$\textcolor{w h i t e}{\text{XXX}} 3 x + 4 < 0$

$\textcolor{w h i t e}{\text{XXX}} 3 x < - 4$

$\textcolor{w h i t e}{\text{XXX}} x < - \frac{4}{3}$