Question

solve the inequality 12 > 20 + 8d and graph the solution. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Solve the inequality

Subtract 20 from both sides of $12>20 + 8d$.
$12-20>20 + 8d-20$
$-8>8d$

Step2: Isolate the variable

Divide both sides by 8.
$\frac{-8}{8}>\frac{8d}{8}$
$- 1>d$ or $d < - 1$

Step3: Graph the solution

On a number - line, draw an open circle at - 1 (because the inequality is strict, $d
eq - 1$) and shade to the left of - 1.

Answer:

The solution of the inequality is $d < - 1$. On the number - line, there is an open circle at - 1 and the line is shaded to the left of - 1.