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

Responses

n>9.6


n>15


n>45

n>28.8

Answer 1

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

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

This simplifies to:

4/5n > 36

Next, we can multiply both sides of the inequality by 5/4 to isolate n:

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

This simplifies to:

n > 45

Therefore, the solution to the inequality is n > 45.