Question

solve the following inequality for b. write your answer in simplest form.
5b - 10 ≤ 8b + 2

Explanation:

Step1: Subtract $5b$ from both sides

$5b - 10 - 5b \leq 8b + 2 - 5b$
$-10 \leq 3b + 2$

Step2: Subtract 2 from both sides

$-10 - 2 \leq 3b + 2 - 2$
$-12 \leq 3b$

Step3: Divide by 3 on both sides

$\frac{-12}{3} \leq \frac{3b}{3}$
$-4 \leq b$

Answer:

$b \geq -4$