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)

GPT 3.5 · Answer

To solve the inequality 4/5n - 12 > 24, we can follow these steps:

Add 12 to both sides:
4/5n - 12 + 12 > 24 + 12
4/5n > 36

Multiply both sides by 5/4 (or multiply the inequality by 5/4 to maintain the inequality sign):
(5/4) * (4/5n) > (5/4) * 36
n > 45

Therefore, all values of the number greater than 45 satisfy the given inequality.