Question

solve the inequality and graph the solution. 2 - 2d ≥ 10 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. -5 -4 -3 -2 -1 0 1 2 3 4 5 submit

Explanation:

Step1: Subtract 2 from both sides

$2 - 2d - 2 \geq 10 - 2$
$-2d \geq 8$

Step2: Divide by -2, reverse inequality

$\frac{-2d}{-2} \leq \frac{8}{-2}$
$d \leq -4$

Step3: Graph setup explanation

On the number line, plot a closed endpoint at $d=-4$ (since the inequality includes equality), then draw a ray extending to the left (to represent all values less than or equal to -4).

Answer:

The solution to the inequality is $d \leq -4$. For the graph: mark a closed dot at $-4$ and draw a ray pointing left from this dot to cover all values less than or equal to $-4$.