Suppose I want to mark the area defined by the following equation:
$$\max(\mid x_1-a \mid,\mid x_2-b \mid) \leq c$$
for any real constants $a$, $b$, and $c$.
How do I do that in Mathematica? I can draw the border for the area by using the
ContourPlot and and changing the inequality sign to an equality sign, but is there a way I can mark the area?
The above equation is just an example. In general, I am looking for a solution to mark the area given by any implicit function of the form $f(x_1,x_2) \leq c$ for a real constant $c$.