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| PAGE: 292 | SET: Exercises | PROBLEM: 1 |
The inequality is 
.
Add 
to each side.
Add 
to each side.
Divide each side by 
.
The inequality solution set is 
.
The inequality is 
.
Related quadratic equation is 
Find the intercepts.
Find the 
-intercept by substituting 
in 
.
Solve for 
.
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 the quadratic equation .
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 
when 
or
.
The inequality solution set is 
.
.
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