Question

graph.
x ≥ 8
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.
-2 0 2 4 6 8

Explanation:

Step1: Identify the endpoint

The inequality is \( x \geq 8 \), so the endpoint is at \( x = 8 \). Since the inequality includes equality (\(\geq\)), the endpoint should be a closed dot (filled circle).

Step2: Determine the direction of the ray

For \( x \geq 8 \), \( x \) can be 8 or any number greater than 8. So the ray should start at 8 (closed dot) and extend to the right (towards positive infinity).

To graph it:

1. Plot a closed dot at \( x = 8 \) on the number line.
2. Draw a ray starting from the closed dot at 8 and pointing to the right (in the direction of increasing \( x \)-values, i.e., towards 10, 12, etc.).

Answer:

To graph \( x \geq 8 \):

• Plot a closed dot (filled circle) at \( x = 8 \) on the number line.
• Draw a ray starting from the closed dot at 8 and extending to the right (toward positive infinity).