To write: The system of inequalities that describes the given region.
Answer to Problem 57E
The system of inequalities that describes the given triangle region is
Explanation of Solution
Given information:
Theregion of a system of inequalities is a triangle with vertices:
The rough graph of the triangle region enclosed with the given vertices is shown below:
The sides of a triangle are line segments, so the inequalities are linear inequalities.
To find the linear inequality corresponding to the points
Since the triangle region is above the line
To find the linear inequality corresponding to the points
Since the triangle region is right side of the line
Now, to find the linear inequality corresponding to the points
Since the triangle region is left side of the line
Conclusion:
Therefore the system of inequalities that describes the triangle region is
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
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