Question

graph the compound inequality. x ≥ 5 and x ≤ 6 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 symbols

The symbol $\geq$ means greater - than or equal to, and $\leq$ means less - than or equal to. Closed circles are used for $\geq$ and $\leq$.

Step2: Plot left - hand endpoint

For $x\geq5$, we plot a closed circle at $x = 5$ on the number line.

Step3: Plot right - hand endpoint

For $x\leq6$, we plot a closed circle at $x = 6$ on the number line.

Step4: Shade the interval

Since it is $x\geq5$ and $x\leq6$, we shade the segment of the number line between $x = 5$ and $x = 6$ (including the endpoints).

Answer:

Plot closed circles at $x = 5$ and $x = 6$ and shade the segment of the number line between them.