Question

solve for g.
-5g - 18 > g or g + 6 > -12g + 19
write your answer as a compound inequality with integers.

Explanation:

Step1: Solve the first inequality

Move terms with $g$ to one - side.
$-5g - g>18$
$-6g>18$
Divide both sides by - 6 and reverse the inequality sign.
$g < - 3$

Step2: Solve the second inequality

Move terms with $g$ to one - side.
$g+12g>19 - 6$
$13g>13$
Divide both sides by 13.
$g > 1$

Answer:

$g < - 3$ or $g > 1$