Work Step by Step
On the given graph, there is an open dot at $-7$. This means that $-7$ is not a solution to the inequality. The number line is shaded to the left of $-7$, which says that $x$ is less than $-7$. Using this information, we know that $x$ is less than $-7$. We can write this as $x\lt-7$, which is the inequality that represents the graph.