Question

graph the compound inequality.$6 < x \leq 9$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: Identify left endpoint type

For $6 < x$, $x$ cannot equal 6, so use an open circle at $x=6$.

Step2: Identify right endpoint type

For $x \leq 9$, $x$ can equal 9, so use a closed circle at $x=9$.

Step3: Connect endpoints

Draw a line segment between $x=6$ (open circle) and $x=9$ (closed circle) to represent all values between them.

Answer:

1. Place an open (unfilled) circle at the number 6 on the number line.
2. Place a closed (filled) circle at the number 9 on the number line.
3. Draw a solid line segment connecting the open circle at 6 and the closed circle at 9.