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 45n−12>24
, where n equals the number, to help solve this problem. Solve her inequality.(1 point)
Responses

n>9.6

n greater than 9.6

n>15

n greater than 15

n>45

n greater than 45

n>28.8

Answer 1

Interpret 45n − 12 as (4/5)n − 12. Solve:

(4/5)n − 12 > 24
(4/5)n > 36
n > 36 · (5/4) = 45

So n > 45.