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 4/4n-12>24, where n equals the number, to help solve this problem. Solve her I be 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 4/4n-12>24, where n equals the number, to help solve this problem. Solve her I be inequality.

Answer 1

To solve the inequality, we need to isolate the variable 'n'. First, let's rewrite the inequality as 4/5n - 12 > 24.

Adding 12 to both sides of the inequality:

4/5n - 12 + 12 > 24 + 12

4/5n > 36

Now, to get rid of the fraction, we can multiply both sides of the inequality by the reciprocal of 4/5, which is 5/4:

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

n > 45

So, the possible values of the number (n) are greater than 45.