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

Answer:

The fourth graph (the one with an open - circle at - 3, an open - circle at 1, and the line segment between them).

Explanation:

Step1: Analyze the inequality

The compound inequality $-3 < n<1$ means $n$ is greater than - 3 and less than 1.

Step2: Understand graphing rules

For $n > - 3$, we use an open - circle at - 3 (since $n$ is not equal to - 3) and shade to the right. For $n < 1$, we use an open - circle at 1 (since $n$ is not equal to 1) and shade to the left. The intersection of these two conditions is the line segment between - 3 and 1 with open - circles at both endpoints.