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
.