Question

graph the compound inequality.
$5 < x \leq 6$
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.
submit

Explanation:

Step1: Identify inequality endpoints

The compound inequality is $5 < x \leq 6$, so endpoints are $x=5$ and $x=6$.

Step2: Mark endpoint types

• For $5 < x$: open circle at $x=5$ (since 5 is not included).
• For $x \leq 6$: closed circle at $x=6$ (since 6 is included).

Step3: Shade the segment

Shade the portion of the number line between $x=5$ and $x=6$.

Answer:

1. Place an open circle at the point labeled 5 on the number line.
2. Place a closed circle at the point labeled 6 on the number line.
3. Shade the line segment connecting the open circle at 5 and the closed circle at 6.