# How do you solve the inequality x 3/2< -8?

May 3, 2017

See the solution process below:

#### Explanation:

Multiply each side of the inequality by $\frac{\textcolor{red}{2}}{\textcolor{b l u e}{3}}$ to solve for $x$ while keeping the inequality balanced"

$x \frac{3}{2} \times \frac{\textcolor{red}{2}}{\textcolor{b l u e}{3}} < - 8 \times \frac{\textcolor{red}{2}}{\textcolor{b l u e}{3}}$

$x \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{3}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}} \times \frac{\cancel{\textcolor{red}{2}}}{\cancel{\textcolor{b l u e}{3}}} < - \frac{16}{3}$

$x < - \frac{16}{3}$