Question

solve the following inequality for f. write your answer in simplest form. 9f - 5 > 5f - 6

Explanation:

Step1: Subtract $5f$ from both sides

$9f - 5 - 5f > 5f - 6 - 5f$
$4f - 5 > -6$

Step2: Add 5 to both sides

$4f - 5 + 5 > -6 + 5$
$4f > -1$

Step3: Divide by 4 on both sides

$\frac{4f}{4} > \frac{-1}{4}$
$f > -\frac{1}{4}$

Answer:

$f > -\frac{1}{4}$