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 4/5 * n - 12 2 where in 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 4/5 * n - 12 > 2 where in equals the number, to help solve this problem. Solve her inequality (1 point)

n > 9.6

n > 45

n > 15

n > 28.8

GPT 3.5 · Answer

To solve the inequality, we need to isolate the variable n.

Given: 4/5 * n - 12 > 24
Add 12 to both sides:
4/5 * n > 24 + 12
4/5 * n > 36
Multiply both sides by 5/4:
n > 36 * 5/4
n > 45

So the correct answer is n > 45.