# How do you solve the inequality 5(2g-3)-6g> -2(g-6)+3?

Jan 6, 2016

$g > 15$

#### Explanation:

Solving an inequality follows the same process as solving an equality, but just maintaining $>$ instead of $=$
$5 \left(2 g - 3\right) - 6 g > - 2 \left(g - 6\right) + 3$
$10 g - 15 - 6 g > - 2 g + 12 + 3$
Group everything on the left
$4 g - 15 + 2 g - 15 > 0$
$2 g - 30 > 0$
$2 g > 30$
$g > 15$