Question

solve the following inequality for f. write your answer in simplest form. 3f - 1 ≤ -4f + 8

Explanation:

Step1: Add $4f$ to both sides

$3f + 4f - 1 \leq -4f + 4f + 8$
$7f - 1 \leq 8$

Step2: Add 1 to both sides

$7f - 1 + 1 \leq 8 + 1$
$7f \leq 9$

Step3: Divide by 7

$\frac{7f}{7} \leq \frac{9}{7}$
$f \leq \frac{9}{7}$

Answer:

$f \leq \frac{9}{7}$