(a)
To sketch: The graph of the system of inequalities and label the vertices with their coordinates.
(a)
Explanation of Solution
The system of inequalities is,
Check the inequality by a test point
Inequality | Test point (0,0) | Conclusion |
|
| Satisfies inequality |
|
| Satisfies inequality |
|
| Not satisfy inequality |
Draw the graph of the inequality.
Figure (1)
Since
Since
The solution of the system of inequalities is the intersection of the graphs.
From Figure (1), the solution of the system of inequality are
Thus, the vertices of the system of inequalities are
(b)
To sketch: The graph of the system of inequalities and label the vertices with their coordinates.
(b)
Explanation of Solution
The system of inequalities is,
Check the inequality by a test point
Inequality | Test point (0,0) | Conclusion |
|
| Satisfies inequality |
|
| Not satisfy inequality |
Draw the graph of the inequality.
Figure (2)
Since
Since
The solution of the system of inequalities is the intersection of the graphs.
From Figure (2), the solution of the system of inequality are
Thus, the vertices of the system of inequalities are
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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