The graph of the inequality
.
Solve for
in terms of
.
(Original equation)
(Add
to each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
The inequality is
.
Draw the boundary of the inequality
.
Since inequality
symbol is
, the boundary is included in the solution set.
Graph the boundary of the inequality
with solid line.
Determine which half-plane to be shaded use a test point in either half-plane.
\A simple choice is
.
(Substitute and
and
)
(Multiply)

The statement is true.
\Therefore, the half–plane which contains the point
is the solution.
Shade the half–plane.
\Graph:
\
\
Graph for inequality
is
.