The function is
.





Solutions are
.

The function is
.


Solutions are
.

The functions are
and 



or
or 
Solutions are
.
.
The function
.

To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.



The
-intercepts are
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open upward.

coordinate of vertex is
.



Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\.gif\")
Since the inequality symbol is
, the solutions
are not included in the solution of the inequality.
The graph is above the
-axis
for all values of
except at
.
The inequality solution set is
.

The function is
.

To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.



The
-intercepts are
,
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open downward.

coordinate of vertex is 



Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\.gif\")
Since the inequality symbol is
, the solutions
or
are included in the solution of the inequality.
The graph is above the
-axis
in
or
.
The inequality solution set is
.

The functions are
and
.



To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.



or
or 
The
-intercepts are
,
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open upward.

coordinate of vertex is 


Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\.gif\")
Since the inequality symbol is
, the solutions
are not included in the solution of the inequality.
The graph is above the
-axis
in
or
.
The inequality solution set is
.

The function
.

To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.



or 
or
The
-intercepts are
,
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open upward.

coordinate of vertex is 



Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\.gif\")
Since the inequality symbol is
, the solutions
are included in the solution of the inequality.
The graph is above the
-axis
in between
or
.
The inequality solution set is
.
Solutions are
.
Solutions are
.
Solutions are
.
The inequality solution set is
.
The inequality solution set is
.
The inequality solution set is
.
The inequality solution set is
.