Twelve less than four-fifths of a number is more than 24. What are all the possible values of the number?

Question

Lucia wrote the inequality 4/5n - 12 > 24, where n equals the number, to help solve this problem. Solve her inequality. (1 point)

Answer 1

To solve the inequality 4/5n - 12 > 24, we can begin by adding 12 to both sides:

4/5n - 12 + 12 > 24 + 12
4/5n > 36

Next, we can multiply both sides by 5 to eliminate the fraction:

(4/5n) * 5 > 36 * 5
4n > 180

Finally, we divide both sides by 4 to solve for n:

(4n) / 4 > 180 / 4
n > 45

Therefore, all possible values of the number n are greater than 45.