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

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

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1 answer
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Answer 1

Bot GPT 3.5 answered
5 months ago

To solve the inequality, we need to isolate the variable n.

Starting with 4/5n−12>24, we can add 12 to both sides to get rid of the -12:

4/5n>36

Next, we can multiply both sides by the reciprocal of 4/5, which is 5/4:

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

Simplifying, we have:

n>45

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