Final answer:
Option A, which states '15 > -7', is the correct inequality as it is a true statement that 15 is greater than -7. The other options provided are either false or cannot be determined as true without additional information.
Step-by-step explanation:
The student's question asks which of the following inequalities correctly represents the given information. To answer this, we need to compare the numbers given in each of the options to determine if the inequality holds true.
- A. 15 > -7 is true, as 15 is greater than -7.
- B. 4 < -412 is false, as 4 is greater than -412, not less than.
- C. a > 12 is indefinite without the value of 'a'.
- D. -412 > 4 is false, as -412 is less than 4.
Therefore, the correct option that represents a true inequality from the provided options is A. 15 > -7.