# How do you solve -27< 4.5( 4- n )?

Jan 11, 2018

$n < 10$

#### Explanation:

$- 27 < 4.5 \left(4 - n\right)$

You can write $4.5$ as $\frac{9}{2}$, now we have:

$- 27 < \frac{9}{2} \left(4 - n\right)$ $\iff$

$- 27 < \frac{36}{2} - \frac{9 n}{2}$ $\iff$

$- 27 < 18 - \frac{9 n}{2}$ $\iff$

$- 54 < 36 - 9 n$ $\iff$

$- 54 - 36 < - 9 n$ $\iff$

$- 90 < - 9 n$ $\iff$

$9 n < 90$ $\iff$

$n < \frac{90}{9}$ $\iff$

$n < 10$