Answer:
[tex]x<-24[/tex]
Step-by-step explanation:
Let's solve the inequality [tex]-\frac{1}{4} x-12>-6[/tex] step-by-step:
Step 1. Add 12 to both sides of the inequality
[tex]-\frac{1}{4} x-12+12>-6+12[/tex]
[tex]-\frac{1}{4} x>6[/tex]
Step 2. Multiply both sides by -4 and reverse the inequality (since you are multiplying by a negative quantity)
[tex]-\frac{1}{4} x(-4)<6(-4)[/tex]
[tex]x<-24[/tex]
We can conclude that the correct answer is the third option.
