Work Step by Step
On the given graph, there is an open dot at $2$. This means that $2$ is not a solution to the inequality. The number line is shaded to the left of $2$, which says that $x$ is less than $2$. Using this information, we know that $x$ is less than $2$. We can write this as $x\lt 2$, which is the inequality that represents the graph.