# How do you solve the inequality 11 > a/4 - 16?

Apr 1, 2018

$a < 100$

#### Explanation:

$\text{add 16 to both sides}$

$11 + 16 > \frac{a}{4} \cancel{- 16} \cancel{+ 16}$

$\Rightarrow 25 > \frac{a}{4}$

$\text{multiply both sides by 4}$

$4 \times 25 > \cancel{4} \times \frac{a}{\cancel{4}}$

$\Rightarrow 100 > a \text{ or } a < 100$