The function is
.

.


Take square root each side.
\
Solutions are
.

.
The function is
.

Solution is
.

.
The functions are
and
.





or 
Solutions are
or
.

.
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 with
.
,
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.
\ \Since the inequality symbol is
, the solutions
are not included in the solution of the inequality.
\The graph is above the
-axis
between
or
.
The inequality solution set is
.

.
The function is
.


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


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

Compare with
.
,
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.
\ \Since the inequality symbol is
, the solutions
are not included in the solution of the inequality.
\The graph is above the
-axis
between
and
.
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
.
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.
\ \Since the inequality symbol is
, the solutions
are included in the solution of the inequality.
\The graph is above the
-axis
between
and
.
The inequality solution set is
.
. Solutions are
.
. Solution is
.
. Solutions are
or
.
. The inequality solution set is
.
. The inequality solution set is
.
. The inequality solution set is
.
. The inequality solution set is
.