# How do you solve the inequality 5x<10(3x+4)?

Apr 7, 2018

$x > - \frac{8}{5}$

#### Explanation:

$\text{distribute the parenthesis on the right side}$

$\Rightarrow 5 x < 30 x + 40$

$\text{subtract 5x from both sides}$

$\cancel{5 x} \cancel{- 5 x} < 30 x - 5 x + 40$

$\Rightarrow 0 < 25 x + 40$

$\text{subtract 40 from both sides}$

$0 - 40 < 25 x \cancel{+ 40} \cancel{- 40}$

$\Rightarrow - 40 < 25 x$

$\text{divide both sides by 25}$

$- \frac{40}{25} < x$

$\Rightarrow - \frac{8}{5} < x \text{ or } x > - \frac{8}{5}$