Question

what is the solution set for -3x - 3 > -21

x<-6
x<6
x>6
x>-6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution set for -3x - 3 > -21, we need to isolate x on one side of the inequality.

-3x - 3 > -21

First, we can add 3 to both sides of the inequality:

-3x > -21 + 3

-3x > -18

Next, we need to divide both sides of the inequality by -3. However, since we are dividing by a negative number, the inequality sign will flip.

x < -18/-3

x < 6

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

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the inequality -3x - 3 > -21, let's go step-by-step:

Step 1: Start by isolating the variable by adding 3 to both sides:
-3x - 3 + 3 > -21 + 3
-3x > -18

Step 2: Next, divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality symbol:
(-3x)/-3 < (-18)/-3
x < 6

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

Answer 3

[AI-generated answer — Explain Bot]

To find the solution set for the inequality -3x - 3 > -21, we can follow these steps:

Step 1: Add 3 to both sides of the inequality to isolate the term with x:

-3x - 3 + 3 > -21 + 3
-3x > -18

Step 2: Divide both sides of the inequality by -3. Since we are dividing by a negative number, we must flip the inequality sign:

(-3x) / -3 < (-18) / -3
x < 6

The solution to the inequality is x < 6. This means x is any number less than 6.

So, out of the answer choices you provided:

- x < -6 is not correct because it is stating that x is less than -6, which contradicts the given inequality.
- x < 6 is correct because it matches our solution x < 6.
- x > 6 is not correct because it is stating that x is greater than 6, which contradicts the given inequality.
- x > -6 is not correct because it is stating that x is greater than -6, which contradicts the given inequality.

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