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−1224 , where n 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 4/5n−12>24 , where n equals the number, to help solve this problem. Solve her inequality.(1 point)

n>28.8

n>15

n>9.6

n>45

GPT 3.5 · Answer

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

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

4/5n > 36

Next, we can multiply both sides of the inequality by 5 to get rid of the fraction:

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

4n > 180

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

4n/4 > 180/4

n > 45

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