Answer
$$\text{D}$$
Work Step by Step
Recall:
A vertical line that crosses the $x$-axis at $h$ has an equation $x=h$.
The graph has a vertical line that crosses the $x$-axis at $5$ so its equation is $x=5$.
The region to the left of the vertical line $x=5$ is shaded.
Since the line is solid, this means that the inequality that represents the region is $x \le 5$.
Among the choices, only the system of linear inequalities in Option $\text{D}$ contains the inequality $x \le 5$.
Therefore, the answer is Option $\text{D}$.