Twelve less than four-fifths of a number is more than 24. What are all the possible values of the number? Lucia wrote the inequality 4/5n - 12 > 24, where n equals the number, to help solve this problem. Solve her inequality.

Question

A. n > 45
B. n > 9.6
C. n > 15
D. n > 28.8

Answer 1

To solve the inequality 4/5n - 12 > 24, we first add 12 to both sides:

4/5n > 36

Then, we multiply by 5/4 on both sides to isolate n:

n > 45

Therefore, the correct answer is:

A. n > 45