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
)
(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