Question

solve the inequality and graph the solution.\\(4r + 10 \leq 2\\)\
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.

Explanation:

Step1: Subtract 10 from both sides

$4r + 10 - 10 \leq 2 - 10$
$4r \leq -8$

Step2: Divide both sides by 4

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

Step3: Graph the solution

On the number line, plot a closed endpoint at $r=-2$ (since the inequality includes equality), then draw a ray pointing left (towards negative infinity) to represent all values less than or equal to -2.

Answer:

The solution to the inequality is $\boldsymbol{r \leq -2}$. For the graph: place a closed dot at $-2$ on the number line, and draw an arrow extending to the left from this point.