How do you solve 2/3h>14?

Jan 14, 2017

Multiply each side of the equation by $\frac{3}{2}$. See full explanation below:

Explanation:

Multiply each side of the equation by $\frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}}$ to solve for $h$ and keep the inequality balanced.

$\frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \times \frac{2}{3} h > \frac{\textcolor{red}{3}}{\textcolor{b l u e}{2}} \times 14$

$\frac{\cancel{\textcolor{red}{3}}}{\cancel{\textcolor{b l u e}{2}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{2}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} h > \frac{42}{2}$

$h > 21$