Four-fifths of a number minus 12 is more than 24.85. What are all the possible values of the number? Write an inequality that could be used to solve this problem.(1 point)

Question

Responses

12−45n>24.85
, where n
is equal to the number.
12 minus Start Fraction 4 over 5 end fraction n greater than 24.85 , where n is equal to the number.

45n−12>24.85
, where n
is equal to the number.
Start Fraction 4 over 5 end fraction n minus 12 greater than 24.85 , where n is equal to the number.

12−45n≤24.85
, where n
is equal to the number.
12 minus Start Fraction 4 over 5 end fraction n less than or equal to 24.85 , where n is equal to the number.

45n−12≤24.85
, where n
is equal to the number.

Answer 1

To express the condition "four-fifths of a number minus 12 is more than 24.85," we can set up the inequality as follows:

Let \( n \) be the number. Then, four-fifths of the number is \( \frac{4}{5}n \).

The inequality can be written as:

\[ \frac{4}{5}n - 12 > 24.85 \]

Therefore, the correct response that represents this inequality is:

Start Fraction 4 over 5 end fraction n minus 12 greater than 24.85, where n is equal to the number.