Answer
The solution set is {x|x $\gt$ -6} , or (-6,$\infty$) in interval notation.
Work Step by Step
We use the properties of inequalities to solve this inequality.
-3x - 6 $\lt$ 12
-3x $\lt$ 18
Divide both sides by -3.
(Remember, multiplying or dividing both sides of an inequality by a negative number reverses the sense of the inequality.)
x $\gt$ -6
The solution set is {x|x $\gt$ -6} , or (-6,$\infty$) in interval notation.
