Chapter 3 - Solving Inequalities - 3-1 Inequalities and Their Graphs - Practice and Problem-Solving Exercises - Page 168: 29

$x\gt-4$

On the given graph, there is an open dot at $-4$. This means that $-4$ is not a solution to the inequality. The number line is shaded to the right of $-4$, which says that $x$ is greater than $-4$. Using this information, we know that $x$ is greater than $-4$. We can write this as $x\gt-4$, which is the inequality that represents the graph.