# How do you solve the inequality 3x-4<10?

Mar 9, 2017

$x < \frac{14}{3}$

#### Explanation:

Isolate 3x by adding 4 to both sides of the inequality.

$3 x \cancel{- 4} \cancel{+ 4} < 10 + 4$

$\Rightarrow 3 x < 14$

divide both sides by 3

$\frac{\cancel{3} x}{\cancel{3}} < \frac{14}{3}$

$\Rightarrow x < \frac{14}{3} \text{ is the solution}$