The way to handle an inequality is to think of it as an equation first, plot the line, and then figure out
which side of the line to shade. This inequality is extra complicated because of the absolute value.
When you graph an equation with absolute value, you generally get a line with a sharp bend, as in all
of the answer choices above. To find the graph of an absolute value equation, figure out where that
bend is. In this case, x – 2 has a turning-point value of 0, which happens when x = 2. So the bend is
at the point (2,0). That narrows the choices down to (A), (B), and (D).
Next, figure out which side gets shaded. Pick a convenient point on either side and see whether that
point’s coordinates fit the given inequality. The point (3,0) is an easy one to work with.