Question

graph the compound inequality. 3 ≤ x < 4 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 left - hand endpoint

The left - hand endpoint of the compound inequality $3\leq x<4$ is $x = 3$. Since the inequality is $\leq$, we use a closed - circle at $x = 3$ on the number line.

Step2: Identify the right - hand endpoint

The right - hand endpoint is $x = 4$. Since the inequality is $<$, we use an open - circle at $x = 4$ on the number line.

Step3: Shade the interval

We shade the region between the two endpoints on the number line, including the closed - circle at $3$ and not including the open - circle at $4$.

Answer:

On the given number line, place a closed - circle at $3$ and an open - circle at $4$, then shade the region between them.