Question

directions - graph the compound linequality: -3 < x < 8

Explanation:

Step1: Analyze the inequality

The compound inequality \(-3 < x < 8\) means \(x\) is greater than \(-3\) and less than \(8\).

Step2: Graph on the number - line

For \(x>-3\), we use an open circle at \(-3\) (since \(-3\) is not included in the solution set) and draw a line to the right. For \(x < 8\), we use an open circle at \(8\) (since \(8\) is not included in the solution set) and draw a line to the left. The intersection of these two parts (the part of the number - line between \(-3\) and \(8\)) is the graph of the compound inequality.

Answer:

Graph an open circle at \(-3\), an open circle at \(8\), and shade the region between \(-3\) and \(8\) on the number - line.