# How do you solve -2/3x+3<11?

Mar 28, 2017

$x > - 12$

#### Explanation:

$- \frac{2}{3} x + 3 < 11$

subtract $3$ to both sides
$- \frac{2}{3} x + 3 - 3 < 11 - 3$

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

bescause the coefficient of $x$ is -ve value, change the position to become +ve value.
$- 8 < \frac{2}{3} x$

multiply both sides with $\frac{3}{2}$
$- 8 \cdot \frac{3}{2} < \frac{2}{3} x \cdot \frac{3}{2}$

$- 12 < x$ or $x > - 12$