How do you solve the inequality -3/4x<20?

Jan 15, 2017

See the entire solution process below

Explanation:

To solve multiply each side of the inequality by $\textcolor{b l u e}{- \frac{4}{3}}$ which will also keep the inequality balanced.

However, whenever multiplying or dividing an inequality by a negative term we must reverse the inequality sign.

$- \frac{3}{4} x < 20$

$\textcolor{b l u e}{- \frac{4}{3}} \times - \frac{3}{4} x \textcolor{red}{>} \textcolor{b l u e}{- \frac{4}{3}} \times 20$

$\cancel{\textcolor{b l u e}{- \frac{4}{3}}} \times \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- \frac{3}{4}}}} x \textcolor{red}{>} - \frac{80}{3}$

$x > - \frac{80}{3}$