The function is
Take square root each side.
\Solutions are .
The function is
Solution is .
The functions are and
Take out common factor.
\ 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 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 not included in the solution of the inequality.
The graph is above the -axis
between
and
. The inequality solution set is
.
The function is .
Multiply each side by negative one and flip the symbol.
\Divide each side by .
The inequality solution set is .
The functions are .
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 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
.