Question

solve the following inequality for d. write your answer in simplest fo
-2 + 2(-d + 9) < 9d + 1 + 4d
answer attempt 1 out of 2
d < ~ 1 submit answer

Explanation:

Step1: Expand left side

$-2 + 2(-d + 9) = -2 - 2d + 18 = -2d + 16$

Step2: Combine right side terms

$9d + 1 + 4d = 13d + 1$

Step3: Rewrite inequality

$-2d + 16 < 13d + 1$

Step4: Move terms with d to right

$16 - 1 < 13d + 2d$

Step5: Simplify both sides

$15 < 15d$

Step6: Divide by 15

$1 < d$ or $d > 1$

Answer:

$d > 1$