Question

graph the compound inequality. x < -3 or x ≥ -1 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: Analyze the first inequality

For \(x < - 3\), the endpoint is \(-3\) and it is an open - endpoint (since the inequality is strict). We draw an open circle at \(-3\) and a ray pointing to the left.

Step2: Analyze the second inequality

For \(x\geq - 1\), the endpoint is \(-1\) and it is a closed - endpoint (since the inequality is non - strict). We draw a closed circle at \(-1\) and a ray pointing to the right.

Answer:

On the number line, draw an open circle at \(x=-3\) and a ray extending to the left. Draw a closed circle at \(x = - 1\) and a ray extending to the right.