Twelve less then four fifths of a number is more then 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

Twelve less then four fifths of a number is more then 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.

N > 45

N > 28.8

N > 9.6

N > 15

GPT 3.5 · Answer

The correct answer is N > 45.

To solve the inequality 4/5n - 12 > 24, you would first add 12 to both sides of the inequality to isolate the variable on one side:
4/5n - 12 + 12 > 24 + 12
4/5n > 36

Then, you would multiply both sides of the inequality by the reciprocal of 4/5, which is 5/4, to cancel out the fraction:
(4/5n)(5/4) > 36(5/4)
n > 45

Therefore, the possible values for the number (n) are all values greater than 45.