y ≦ |x-6|

First we draw the graph of the boundary which is

y = |x-6|

It is a V-shaped graph with vertex (6,0). We draw it solid
(not dotted) because the inequality ≦ tells us that we are 
to include the boundary as part of the solution set.



We use the origin as a test point:

Substituting in the original inequality:

y ≦ |x-6|
0 ≦ |0-6|
0 ≦ |-6|
0 ≦ 6

That is true so (0,0) is a solution and so
all the solutions are on the same side of the graph
that (0,0) is on.  So we shade that side of the
boudary:




Edwin