Question

graph the compound inequality.$-6 leq x leq -1$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 inequality endpoints

The inequality $-6 \leq x \leq -1$ has endpoints at $x=-6$ and $x=-1$. The $\leq$ symbol means both endpoints are closed (filled circles).

Step2: Mark closed endpoints

Place closed (filled) circles on the number line at $x=-6$ and $x=-1$.

Step3: Connect endpoints with segment

Draw a solid line segment connecting the two closed circles to represent all values between $-6$ and $-1$, inclusive.

Answer:

1. Draw a closed (filled) circle at $x=-6$ on the number line.
2. Draw a closed (filled) circle at $x=-1$ on the number line.
3. Draw a solid line segment connecting the two closed circles.