Based on your description, the closed point plotted between 4 and 5 indicates that the value at that point is included in the solution set. Since the rightward arrow extends beyond 10, this suggests that the solution set includes all numbers greater than or equal to the point plotted.
Let's denote the closed point between 4 and 5 as 4.5 (since it is just after 4). The inequality represented would thus be:
\[ x \geq 4.5 \]
So the linear inequality that matches the described graph is:
\[ x \geq 4.5 \]