Question

graph the compound inequality.$-10 < x leq -7$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: Identify left endpoint rule

For $-10 < x$, $x$ cannot equal -10, so use an open circle at $x=-10$.

Step2: Identify right endpoint rule

For $x \leq -7$, $x$ can equal -7, so use a closed circle at $x=-7$.

Step3: Shade the interval

Shade the segment between -10 and -7 to show all values satisfying both inequalities.

Answer:

1. Place an open circle at $x=-10$ on the number line.
2. Place a closed circle at $x=-7$ on the number line.
3. Draw a solid segment connecting the open circle at -10 and the closed circle at -7, shading the area between them.