# How do you solve the inequality 2x-6>8?

Jan 18, 2017

$x > 7$

#### Explanation:

Leave the 2x on the left side of the inequality and numeric values on the right side.

add 6 to both sides.

$2 x \cancel{- 6} \cancel{+ 6} > 8 + 6$

$\Rightarrow 2 x > 14$

To solve for x, divide both sides by 2

$\frac{\cancel{2} x}{\cancel{2}} > \frac{14}{2}$

$\Rightarrow x > 7 \text{ is the solution}$