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

Question

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Responses
A x < -6x < -6
B x < 6x < 6
C x > 6x > 6
D x > -6

Answer 1

To find the solution set for the inequality −3x−3>−21, we need to isolate the variable x.

First, we can start by subtracting 3 from both sides of the inequality:

−3x - 3 + 3 > -21 + 3
−3x > -18

Next, we can divide both sides of the inequality by -3. Remember that when we multiply or divide by a negative number, we need to reverse the inequality symbol:

−3x / -3 < -18 / -3
x < 6

Therefore, the solution set for the inequality is x < 6.

So the answer is B) x < 6.