Question

solve the linear inequality for y. write your answer in inequality notation. -2(-5y + 22) - 11 ≤ -45y + 110

Explanation:

Step1: Expand left-hand side

$10y - 44 - 11 \leq -45y + 110$

Step2: Simplify left-hand side constants

$10y - 55 \leq -45y + 110$

Step3: Add $45y$ to both sides

$10y + 45y - 55 \leq 110$
$55y - 55 \leq 110$

Step4: Add 55 to both sides

$55y \leq 110 + 55$
$55y \leq 165$

Step5: Divide by 55 on both sides

$y \leq \frac{165}{55}$
$y \leq 3$

Answer:

$y \leq 3$