Question

solve the following inequality for d. write your answer in simplest form. 8 + 3(2d + 8) > -5d + 4 - 8

Explanation:

Step1: Expand left-hand side

$8 + 6d + 24 > -5d + 4 - 8$

Step2: Simplify both sides

$6d + 32 > -5d - 4$

Step3: Add $5d$ to both sides

$6d + 5d + 32 > -4$
$11d + 32 > -4$

Step4: Subtract 32 from both sides

$11d > -4 - 32$
$11d > -36$

Step5: Divide by 11

$d > -\frac{36}{11}$

Answer:

$d > -\frac{36}{11}$