# How do you solve 37<7-10w?

May 26, 2018

$- 3 > w$ OR $w < - 3$, which mean the same thing.

#### Explanation:

$37 < 7 - 10 w$

First subtract $7$ from both sides to isolate the variable:

$37 \textcolor{w h i t e}{x} \textcolor{red}{- 7} < \cancel{7 \textcolor{w h i t e}{x} \textcolor{red}{- 7}} - 10 w$

$30 < - 10 w$

Now divide both sides by $10$:

$\frac{30}{10} < - \frac{\cancel{10}}{\cancel{10}} w$

$3 < - w$

Variables shouldn't be negative, so multiply both sides by $- 1$ to change it's sign, and flip the < sign to a > sign.

$3 \left(- 1\right) \textcolor{red}{<} - w \left(- 1\right)$

$- 3 \textcolor{red}{>} w$

You can also write it as: $w < - 3$, designating that $w$ is still less than $- 3$. They mean the same thing.

May 26, 2018

$w < - 3$

#### Explanation:

Solve:

$37 < 7 - 10 w$

Subtract $7$ from both sides.

$37 - 7 < - 10 w$

$30 < - 10 w$

Divide both sides by $- 10$. This will reverse the inequality.

$- \frac{30}{10} > w$

$- 3 > w$

Switch sides.

$w < - 3$