Solve the inequality.

−1/4x−12>−6

Which answer represents the solution set?
x<2/3
x>−24
x<−24
x>2/3

The option c) x < -24 represents the solution set of the given inequality.

Step-by-step explanation:

The given inequality is −1/4x−12 > −6

To find the solution set :

Keep the x term on one side and constants on other side of the inequality.

-1/4x > -6+12

-1/4x > 6

-x > (64)

-x > 24

Multiply both sides with -1 to remove the negative sign of x.

While multiplying or dividing a negative number in an equality, the inequality sign must be flipped.

⇒ x < -24

correct answers below: