Question

solve the inequality and graph the solution.
-3 ≤ 5 - d
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from
closed to open. select the middle of the ray to delete it.
-10 -8 -6 -4 -2 0 2 4 6 8 10

Explanation:

Step1: Subtract 5 from both sides

$-3 - 5 \leq 5 - d - 5$
$-8 \leq -d$

Step2: Multiply by -1 (reverse inequality)

$(-8) \times (-1) \geq (-d) \times (-1)$
$8 \geq d$ or $d \leq 8$

Step3: Graph the solution

On the number line, plot a closed endpoint at 8 (since the inequality includes equality), then draw an arrow pointing left to represent all values less than or equal to 8.

Answer:

The solution to the inequality is $d \leq 8$.
For the graph: Plot a closed dot at 8 on the number line, and draw a ray extending to the left from this point.