Answer: D. d > 9
Explanation:
We have the inequality:
d/4 > 36
To solve for d, we need to isolate the variable d on one side of the inequality. We can do this by multiplying both sides of the inequality by 4:
d > 36 x 4
d > 144
Therefore, the answer is (D) d > 9, since any value of d greater than 9 would satisfy the inequality. We can also check that the other answer choices are incorrect:
If d < 9, then d/4 < 9/4, which is less than 36. So, (A) d < 9 is not a valid solution.
If d < 144, then d/4 < 144/4 = 36, which is less than 36. So, (B) d < 144 is not a valid solution.
If d > 144, then d/4 > 144/4 = 36, which satisfies the inequality. So, (C) d > 144 is also a valid solution, but not the most inclusive one.