Question

What is the solution set for 12−6x>24 ?(1 point) Responses x>2 x is greater than 2 x<2 x<2 x>−2 x is greater than negative 2 x<−2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution set for the inequality 12 - 6x > 24, we begin by subtracting 12 from both sides of the inequality:

12 - 12 - 6x > 24 - 12

This simplifies to:

-6x > 12

Next, we divide both sides by -6. However, since we are dividing by a negative number, we need to reverse the inequality sign:

-6x/-6 < 12/-6

This simplifies to:

x < -2

Therefore, the solution set for the inequality 12 - 6x > 24 is x < -2.