Question

1. solve the following inequality for f. write your answer in simplest form.

$-1 - (3f - 2) \geq -f + 9 + 2$
$-1 - 3f + 2 \geq -f + 9 + 2$

Explanation:

Step1: Simplify left side

$-1 - 3f + 2 \geq -f + 9 + 2$

Step2: Simplify constants on both sides

$1 - 3f \geq -f + 11$

Step3: Add $3f$ to both sides

$1 \geq 2f + 11$

Step4: Subtract 11 from both sides

$1 - 11 \geq 2f$
$-10 \geq 2f$

Step5: Divide by 2

$\frac{-10}{2} \geq f$
$-5 \geq f$

Answer:

$f \leq -5$