The inequality is .
Consider the graph of .
First determine the boundary by graphing , the equation you obtain by replacing inequality sign with an equals sign.
Since the inequality involves y-values less than , but not equl to
,
the line should be dashed.
The boundary divides the coordinate plane in to two half planes.
\
Note: a dashed line on a coordinate plane indicates that the boundary is not part of the solution set.
\To determine which half plane contains the solution,
\choose a point from each half plane and test it in the inequality.
\Try
(Substitute:
)
Since the statement is false.
\Try
(Substitute:
)
Since the statement is true.
The half plane that contains contains the solution. Shade that half plane.
The graph of the inequality is