Question

solve the following inequality for b. write your answer in simplest form. 10 - 3(-5b - 6) ≤ -9b - 5 + 8

Explanation:

Step1: Expand left-hand side

$10 + 15b + 18 \leq -9b - 5 + 8$

Step2: Simplify both sides

$15b + 28 \leq -9b + 3$

Step3: Add $9b$ to both sides

$15b + 9b + 28 \leq 3$
$24b + 28 \leq 3$

Step4: Subtract 28 from both sides

$24b \leq 3 - 28$
$24b \leq -25$

Step5: Divide by 24

$b \leq \frac{-25}{24}$

Answer:

$b \leq -\frac{25}{24}$