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