# How do you solve -s/3< -3.5?

Apr 30, 2017

$s > 10.5$

#### Explanation:

Multiply both sides of the inequality by 3 to eliminate the fraction.

$\cancel{3} \times - \frac{s}{\cancel{3}} < 3 \times - 3.5$

$\Rightarrow - s < - 10.5$

$\text{multiply both sides by - 1}$

$\text{Note}$ remember when multiplying/dividing by a negative quantity to $\textcolor{b l u e}{\text{reverse the sign}}$

$\left(- s \times - 1\right) > \left(\times - 10.5 \times - 1\right) \leftarrow \textcolor{red}{\text{ reverse sign}}$

$\Rightarrow s > 10.5 \text{ is the solution}$