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)
Responses
n>9.6
n>15
n>45
n>28.8
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.