The boundary line for the inequality is translated 5 units to the right and 5 units up graph of the function y=|x|. This translation gives you the function y=|x-5|+5.
This boundary line is solid, then the inequality should contain notion "or equal to" (the sign of inequality should be ≤ or ≥).
You can see that the origin belongs to the sgaded region, then its coordinates satisfy the inequality. Since 0≤|0-5|+5 (0≤10), then correct choice is D.
