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 > (6[tex]\times[/tex]4)
-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
