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 over 5 and n − 12 24 , where n equals the number, to help solve this problem. Solve her inequality.

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 over 5 and n − 12 > 24 , where n equals the number, to help solve this problem. Solve her inequality.

GPT 3.5 · Answer

To solve the inequality 4/5n - 12 > 24, we can first isolate the variable on one side of the inequality:
4/5n > 24 + 12
4/5n > 36

Next, we can multiply both sides of the inequality by 5/4 to get rid of the fraction:
(5/4)(4/5)n > (5/4)(36)
n > 45

The solution to the inequality is n > 45.