# How do you solve 5x < 2x - 6?

May 10, 2018

$x < - 2$

#### Explanation:

Solve by making x the subject and remembering that dividing by negative number, the inequality sign will change from $<$ to $>$.

$5 x < 2 x - 6$

$5 x - 2 x = - 6$

$3 x < - 6$

$x < - \frac{6}{3}$

$x < - 2$

Lets take $x = - 3$ which is less the $- 2$
$5 \times \left(- 3\right) < 2 \times \left(- 3\right) - 6$
$- 15 < - 6 - 6$
$- 15 < - 12$