Question

graph {x | x > -1 and 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: Analyze the inequalities

The inequality \(x>-1\) and \(x < 4\) means \(x\) is strictly greater than \(-1\) and strictly less than \(4\).

Step2: Determine the endpoints

Since the inequalities are strict (\(>\) and \(<\)), the endpoints \(-1\) and \(4\) are not included in the solution set. So, we use open circles at \(x=-1\) and \(x = 4\).

Step3: Draw the graph

We draw a line segment between the open - circles at \(x=-1\) and \(x = 4\) to represent all the values of \(x\) that satisfy both inequalities.

Answer:

On the number - line, place an open circle at \(x=-1\) and an open circle at \(x = 4\). Then draw a line segment connecting the two open - circles.