Question

twelve less than four-fifths of a number is more than 24. what are all the possible values of the number? luisa wrote the inequality (\frac{4}{5}n - 12 > 24), where (n) equals the number, to help solve this problem. solve her inequality. (1 point)

(n > 26.8)

(n > 9.6)

(n > 45)

(n > 13)

Explanation:

Step1: Isolate the variable term

Add 12 to both sides.
$\frac{4}{5}n - 12 + 12 > 24 + 12$
$\frac{4}{5}n > 36$

Step2: Solve for n

Multiply by $\frac{5}{4}$ on both sides.
$n > 36 \times \frac{5}{4}$
$n > 45$

Answer:

$n > 45$ (Option: $n > 45$)