Question

graph the compound inequality.
$x < 505$ or $x \geq 510$
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
a segment, ray, or line to delete it.

Explanation:

Step1: Analyze the inequality \(x < 505\)

For \(x < 505\), the endpoint \(x = 505\) is not included. So, we use an open - circle at \(x = 505\) and draw a ray to the left (since \(x\) values are less than \(505\)).

Step2: Analyze the inequality \(x\geq510\)

For \(x\geq510\), the endpoint \(x = 510\) is included. So, we use a closed - circle at \(x = 510\) and draw a ray to the right (since \(x\) values are greater than or equal to \(510\)).

Answer:

On the number line, place an open - circle at \(x = 505\) and draw a ray to the left. Place a closed - circle at \(x = 510\) and draw a ray to the right.