Question

graph the compound inequality. x ≥ -35 and x ≤ -31 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 signs

The inequalities are $x\geq - 35$ and $x\leq - 31$. The $\geq$ and $\leq$ signs mean the endpoints are included (closed - endpoints).

Step2: Plot the endpoints on the number - line

On the given number - line, mark a closed circle at $x=-35$ and a closed circle at $x = - 31$.

Step3: Shade the region

Shade the region between $x=-35$ and $x=-31$ (including the endpoints) since the compound inequality is $x\geq - 35$ and $x\leq - 31$.

Answer:

On the number - line, place closed circles at $x=-35$ and $x=-31$ and shade the segment between them.