Considering the inequality 3x < -9, identify the correct solution set: A. x < 3 B. x C. x < -3 D. x > -3

Question

Considering the inequality 3x < -9, identify the correct solution set:

A. x < 3
B. x
C. x
D. x

Answer 1

After dividing both sides of the inequality 3x < -9 by 3, the solution is x < -3. Thus, the correct solution set is C: x .

Step-by-step explanation:

To solve the inequality 3x < -9, you need to isolate the variable x. This is done by dividing both sides of the inequality by 3, which is the coefficient of x. Remember that dividing by a positive number does not change the direction of the inequality.

Dividing by 3, you get:

• x < -9 / 3
• x < -3

Therefore, the solution to the inequality is the set of all x values that are less than -3. So, the correct solution set is C: x < -3.