Question

graph the compound inequality. x ≤ 5 or x > 6 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 $x\leq5$

On the number - line, for $x\leq5$, we put a closed circle at $x = 5$ (because the inequality includes equality) and draw a ray to the left of 5.

Step2: Analyze $x>6$

For $x>6$, we put an open circle at $x = 6$ (because the inequality does not include equality) and draw a ray to the right of 6.

Answer:

On the number - line, put a closed circle at 5 and draw a ray to the left of 5. Put an open circle at 6 and draw a ray to the right of 6.