# Question #2c311

Sep 21, 2017

$2 > x > - 3$

#### Explanation:

Step one: subtract both sides by 1

$- 5 \textcolor{red}{\left(- 1\right)} < 1 - 3 x \textcolor{red}{\left(- 1\right)} < 10 \textcolor{red}{\left(- 1\right)}$

this gives us
$\textcolor{g r e e n}{- 6} > \textcolor{g r e e n}{- 3 x} > \textcolor{g r e e n}{9}$

Now divide both sides by -3

$\textcolor{g r e e n}{2} < \textcolor{g r e e n}{x} < \textcolor{g r e e n}{- 3 x}$

There you go!

Sep 21, 2017

$2 > x > - 3$ which can also be written as $- 3 < x < 2$

#### Explanation:

Given: $- 5 < 1 - 3 x < 10$

Subtract 1 from all 3:

$- 6 < - 3 x < 9$

Divide all 3 by -3:

$2 > x > - 3$