Question

graph the compound inequality. 6 ≤ x < 8 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 endpoints

The endpoints of the compound - inequality $6\leq x\lt8$ are $x = 6$ and $x = 8$.

Step2: Determine the type of endpoints

For $x\geq6$, the endpoint $x = 6$ is a closed - endpoint (because of the $\leq$ sign), so we use a closed circle at $x = 6$ on the number line. For $x\lt8$, the endpoint $x = 8$ is an open - endpoint (because of the $\lt$ sign), so we use an open circle at $x = 8$ on the number line.

Step3: Shade the interval

We shade the region between $x = 6$ and $x = 8$ on the number line to represent all the values of $x$ that satisfy the compound inequality.

Answer:

On the given number line, place a closed circle at $x = 6$ and an open circle at $x = 8$, then shade the region between them.