# How do you solve 2/3t< -48?

Mar 30, 2017

See the entire solution process below:

#### Explanation:

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

$\frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \times \frac{2}{3} t < \frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \times - 48$

$\frac{\cancel{\textcolor{red}{3}}}{\cancel{\textcolor{b l u e}{2}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{2}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} t < \frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \times - \left(2 \times 24\right)$

$t < \frac{\textcolor{red}{3}}{\cancel{\textcolor{b l u e}{2}}} \times - \left(\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{2}}} \times 24\right)$

$t < 3 \times - 24$

$t < - 72$