Question

graph the compound inequality. 7 < x < 10 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 the inequality type

The inequality $7 < x < 10$ is a strict (open - ended) compound inequality.

Step2: Plot the endpoints on the number - line

We mark the points $x = 7$ and $x = 10$ on the number - line. Since the inequality is strict ($<$ and not $\leq$), we use open circles at $x = 7$ and $x = 10$.

Step3: Shade the interval

We shade the region between the open - circles at $x = 7$ and $x = 10$ to represent all the values of $x$ that satisfy the inequality.

Answer:

On the given number - line, place open circles at $x = 7$ and $x = 10$, and shade the region between them.