Question

solve the inequality and graph the solution.
1 + 4r ≥ 9
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

Explanation:

Step1: Subtract 1 from both sides

$1 + 4r - 1 \geq 9 - 1$
$4r \geq 8$

Step2: Divide by 4 on both sides

$\frac{4r}{4} \geq \frac{8}{4}$
$r \geq 2$

Step3: Graph the solution

• Place a closed dot at 2 (since the inequality includes equality, $\geq$).
• Draw a ray extending to the right from 2, representing all values greater than or equal to 2.

Answer:

$r \geq 2$
Graph: A closed dot at 2, with a ray extending to the right.