Answer
(C)
Work Step by Step
The shaded area of the inequality is below the graph, and and line is solid so, the appropriate sign is: $\leq$.
Furthermore, this graph takes the base function $y = |x|$ and uses a stretch of 1/2, a shift right one unit, and a shift down one unit. This points us to:
$y \leq \frac{1}{2} |x-1| - 1$