Question

which graph represents the compound inequality?
-3 < n < 1

Explanation:

Step1: Analyze the inequality

The compound inequality \(-3 < n < 1\) means \(n\) is greater than \(-3\) and less than \(1\). On a number line, for \(n>-3\), there is an open circle at \(-3\) (since \(-3\) is not included) and the line extends to the right. For \(n < 1\), there is an open circle at \(1\) (since \(1\) is not included) and the line extends to the left. The solution is the intersection of these two, so the line is between \(-3\) and \(1\) with open - circles at both endpoints.

Answer:

The last option (the number line with an open circle at \(-3\), an open circle at \(1\), and the line segment between them) represents the compound inequality \(-3 < n < 1\).