Question

graph the compound inequality.
-3 < 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 inequality for endpoints

For \( -3\lt x\), the endpoint \(x = - 3\) is open (since the inequality is strict, \( <\)). For \(x\leq1\), the endpoint \(x = 1\) is closed (since the inequality is non - strict, \(\leq\)).

Step2: Graph the interval

On the number line, place an open circle at \(x=-3\) and a closed circle at \(x = 1\). Then draw a line segment connecting these two points to represent all the values of \(x\) that satisfy \( - 3\lt x\leq1\).

Answer:

Graph with an open circle at \(-3\) and a closed circle at \(1\), connected by a line segment.