Final answer:
The value of h that makes the inequality true is h = -5.
Step-by-step explanation:
To determine which values of h make the inequality true, we substitute each given value of h into the inequality and check whether the inequality holds.
For h = -3:
Substituting h = -3 into the inequality, we have 5(-3) + 12 - 3A. Simplifying this expression gives -15 + 12 - 3A = -3A - 3.
So, h = -3 does not make the inequality true.
For h = -4:
Substituting h = -4 into the inequality, we have 5(-4) + 12 - 3A. Simplifying this expression gives -20 + 12 - 3A = -8 - 3A.
So, h = -4 does not make the inequality true.
For h = -5:
Substituting h = -5 into the inequality, we have 5(-5) + 12 - 3A. Simplifying this expression gives -25 + 12 - 3A = -13 - 3A.
So, h = -5 does make the inequality true.