# How do you solve the inequality 2(4-n) < 3n?

Dec 16, 2015

$\frac{8}{5} < n$

#### Explanation:

To solve inequalities, solve like you would an equation.

Original equation:
$2 \left(4 - n\right) < 3 n$

Distribute the $2$:
$8 - 2 n < 3 n$

Add $2 n$ to both sides:
$8 < \left(3 n + 2 n\right)$
$8 < 5 n$

Divide to get $n$ by itself:
$\frac{8}{5} < n$

$\frac{8}{5} < n$