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)
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 by 5/4 to isolate n:
(4/5n) * (5/4) > 36 * (5/4)
This simplifies to:
n > 45
Therefore, the possible values of the number are all real numbers greater than 45.