What is the solution set for −3x−3>−21 ?

Answer 1

To solve the inequality, we need to isolate the variable x.

First, we can add 3 to both sides of the inequality: -3x - 3 + 3 > -21 + 3
Simplifying this gives: -3x > -18

Next, we can divide both sides by -3. Since we are dividing by a negative number, the inequality symbol needs to be reversed:
-3x / -3 < -18 / -3
This simplifies to: x < 6

So, the solution set for -3x - 3 > -21 is x < 6.