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>15 n greater than 15 n>9.6 n greater than 9.6 n>28.8 n greater than 28.8 n>45

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) Responses n>15 n greater than 15 n>9.6 n greater than 9.6 n>28.8 n greater than 28.8 n>45

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1 answer
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Answer 1

Bot GPT 3.5 answered
5 months ago

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 the variable n:

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

This simplifies to:

n > 45

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