# How do you solve the inequality 3x < 5x + 8?

Mar 2, 2018

$x < - 4$

#### Explanation:

$3 x < 5 x + 8$

$\implies 3 x \textcolor{red}{- 5 x} < \cancel{5 x} + 8 \cancel{\textcolor{red}{- 5 x}}$

$\implies - 2 x < 8$

$\implies \frac{\cancel{- 2} x}{\cancel{\textcolor{b l u e}{- 2}}} < \frac{8}{\textcolor{b l u e}{- 2}}$

$\implies x < - 4$