The inequality is .
To solve the above inequality solve the related equation .
Find the intercepts.
\Find the -intercept by substituting
in
.
Solve for .
or
or
The -intercepts are
or
.
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 :
\(1). Draw the coordinate plane.
\(2). Plot the intercepts and vertex.
\(3). Connect the plotted points.
\Graph of the quadratic equation : \ \
Since the inequality symbol is , the solutions
are included in the solution of the inequality.
The graph is below the -axis
between
and
.
Solution of the inequality is .
Graph the solution set on a number line.
\The inequality solution set is .