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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
