Answer
$x\geq 5$
Work Step by Step
On the given graph, there is a closed dot at $5$. This means that $5$ is a solution to the inequality. The number line is shaded to the right of $5$, which says that $x$ is greater than or equal to $5$.
Using this information, we know that $x$ is greater than or equal to $5$. We can write this as $x\geq 5$, which is the inequality that represents the graph.