Question

solve the following inequality for d. write your answer in simplest form. -8 + 3(-2d - 8) ≤ -8d + 4 + 7d

Explanation:

Step1: Expand left-hand side

$-8 + 3(-2d - 8) = -8 -6d -24$

Step2: Simplify both sides

Left: $-6d -32$; Right: $-d + 4$

Step3: Isolate d terms to left

$-6d + d \leq 4 + 32$

Step4: Combine like terms

$-5d \leq 36$

Step5: Divide by -5, reverse inequality

$d \geq -\frac{36}{5}$

Answer:

$d \geq -\frac{36}{5}$