Step 1:
\The inequality is .
The points are ,
,
and
.
The graph of the inequality is the shaded region, where every point in the shaded region satisfies the inequality.
The graph of the equation is the boundary of the region. Since the inequality symbol is >, the boundary is drawn as a dotted curve to show that points on the curve does not satisfy the inequality and the shaded region of the graph of
is the solutions to the inequality.
Step 2:
\Graph:
\Graph the inequality.
\Shade the required region.
\Plot all the points.
\Note :
\1) The dashed line indicates that it is not included in the function.
\Observe the graph:
\The Points and
are in the shaded region.
The Point touches the dashed line.
The Point is not in the shaded region.
The solution of the inequality are
and
.
Step 3:
\Check :
\To check the solution, substitute the point in
.
As the condition is not satisfied, is not the solution of
.
To check the solution, substitute the point in
.
As the condition is not satisfied, is not the solution of
.
To check the solution, substitute the point in
.
As the condition is satisfied, is the solution of
.
To check the solution, substitute the point in
.
As the condition is satisfied, is the solution of
.
Solution:
\The solution of the inequality are and
.