Question

graph the compound inequality.

$x\leq3$ or $x > 7$

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: Graph \(x\leq3\)

For \(x\leq3\), we use a closed circle at \(x = 3\) (because the inequality includes equality) and draw a ray to the left.

Step2: Graph \(x>7\)

For \(x>7\), we use an open circle at \(x = 7\) (because the inequality does not include equality) and draw a ray to the right.

Answer:

Graph with a closed - circle at \(3\) and a ray to the left for \(x\leq3\), and an open - circle at \(7\) and a ray to the right for \(x > 7\).