# What is the solution to the inequality 5x + 8 > –12?

Aug 12, 2015

$x > - 4$

#### Explanation:

Given an inequality, the inequality remains valid (including orientation of the inequality sign) following:

• addition or subtraction of any equal amount to/from both sides
• multiplication or division by any equal amount greater than zero on both sides.

Therefore, given $5 x + 8 > - 12$

we can subtract $8$ from both sides to get
$\textcolor{w h i t e}{\text{XXXX}}$$5 x > - 20$

and then we can divide both sides by $5$
$\textcolor{w h i t e}{\text{XXXX}}$$x > - 4$