# How do you solve  3(x - 4) > -2?

May 7, 2015

Things y0u can do to both sides of an inequality without effecting the orientation of the inequality:

1. Add or subtract any value
2. Multiply or divide by any value greater than zero

$3 \left(x - 4\right) > - 2$

Divide by 3
$x - 4 \succ \frac{2}{3}$

$x > 4 - \frac{2}{3}$
or
$x > 3 \frac{1}{3}$

May 7, 2015

Solve $3 \left(x - 4\right) > - 2$ .

Distribute the $3$.

$3 x - 12 > - 2$

Add $12$ to both sides.

$3 x - 12 + 12 > - 2 + 12$ =

$3 x > 10$

Divide both sides by $3$.

$\frac{\cancel{3} x}{\cancel{3}} > \frac{10}{3}$ =

$x > \frac{10}{3}$