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

Answer 1

To solve the inequality, we will isolate the variable x.

First, we will add 3 to both sides of the inequality:
-3x - 3 + 3 > -21 + 3
-3x > -18

Next, we will divide both sides of the inequality by -3. Remember that when dividing or multiplying by a negative number, we need to flip the direction of the inequality sign.
(-3x)/-3 < (-18)/-3
x < 6

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