What is the solution set for 12−6x>24 ?(1 point)

Question

Responses

x>2x is greater than 2

x<2x<2

x>−2x is greater than negative 2

x<−2

Answer 1

To solve the inequality 12 - 6x > 24, we need to isolate the variable x on one side of the inequality. Let's go through the steps:

1. Start with the inequality: 12 - 6x > 24
2. Subtract 12 from both sides: -6x > 12
3. Divide both sides by -6 (note that when dividing or multiplying both sides of the inequality by a negative number, the inequality sign must be reversed): x < -2 (dividing by -6)

Therefore, the correct solution set is x < -2.