The graph of the inequality .
Solve for in terms of
:
(Original equation)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
The inequality is .
Draw the boundary of the inequality and
Since inequality symbol is
, the boundary is included in the solution set.
Graph the boundary of the inequality with dashed line.
Determine which half-plane to be shaded use a test point in either half-plane.
A simple choice is .
(Substitute and
and
)
The statement is false.
Therefore, the half–plane which does not contain the origin is the solution.
Shade this half–plane.
Graph:
.
Graph for inequality is
.