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)

Question

• n > 9.6
On > 45
O n > 15
O n > 28.8

Answer 1

To solve the inequality 4/5n - 12 > 24, we need to isolate the variable n.
First, we add 12 to both sides of the inequality:
4/5n - 12 + 12 > 24 + 12
4/5n > 36
Next, we multiply both sides by the reciprocal of 4/5, which is 5/4, to get rid of the fraction:
5/4 * 4/5n > 36 * 5/4
n > 45

Therefore, the correct answer is: n > 45.