# How do you solve -4x-8>16?

Aug 6, 2015

$x > - 6$

#### Explanation:

$- 4 x - 8 > 16$

$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow - 4 x > 24$
[1] divide both sides by $\left(- 4\right)$, remembering that multiplication or division by a negative reverses the inequality:
$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow x < - 6$
[2] add $\left(4 x - 24\right)$ to both sides
$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow - 24 < 4 x$
then divide by $4$
$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow - 6 < x$