Question

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

Explanation:

Step1: Analyze inequality symbols

The compound inequality $-3 < n < 1$ has two strict - less - than symbols ($<$). This means the endpoints $-3$ and $1$ are not included in the solution set.

Step2: Identify graph features

On a number - line graph, non - included endpoints are represented by open circles. The solution set is all the values of $n$ that are greater than $-3$ and less than $1$, so the graph will have an open circle at $-3$, an open circle at $1$, and a line segment connecting them.

Answer:

The graph with open circles at $-3$ and $1$ and a line segment between them. (The fourth graph in the given options, assuming the order as presented in the image)