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−1224, where n equals the number, to help solve this problem. Solve her inequality.(1 point)

Question

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.(1 point)
Responses

A. n>15
  n greater than 15

B. n>9.6
  n greater than 9.6

C. n>45
n greater than 45

D. n>28.8

GPT 3.5 · Answer

To solve the inequality 4/5n - 12 > 24, start by adding 12 to both sides to isolate the variable:

4/5n - 12 + 12 > 24 + 12

4/5n > 36

To get rid of the fraction, multiply both sides of the inequality by 5/4:

(4/5n)(5/4) > 36(5/4)

n > 45

So, the solution to the inequality is n > 45. Therefore, the possible values of the number are greater than 45. The correct answer is C. n > 45.