# How do you solve the inequality -2/3x> -8?

Mar 24, 2018

$x < 12$

#### Explanation:

$- \frac{2}{3} x > - 8$

Multiply 3 both sides

$\implies 3 \times - \frac{2}{3} > 3 \times - 8$

$\implies - 2 x > - 24$

Divide by 2 both sides

$\implies - \frac{2}{2} x > - \frac{24}{2}$

$\implies - x > - 12$

For changing the sign , the greater than becomes smaller than.

$\implies x < 12$