The inequality is
.
Subtract 1 from each side.
\

Multiply each side by negative 1 and flip the symbol.
\

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 x-values less than or equal 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
. So, substitute x = 3, y = 2 in
.


Since the statement is false.
\Try
. So, substitute
in
.


Since the statement is true.
The half plane that contains
contains the solution. Shade that half plane.

The graph of the inequality
is
