To find: the coordinates of all the vertices and determine whether the solution set bounds or not
Answer to Problem 22E
The region of solution set of system of equation
The coordinates of all vertex is
Explanation of Solution
Given:
Calculation:
Consider the following inequalities:
The objective is to sketch the graph of solution set of above-mentioned inequalities.
And, then find the coordinates of all vertices and check whether the solution set is bounded or not.
Consider the first inequality
Graph the equation of line
Consider a point
or not
Substitute
The graph of
The graph of inequality
Consider the second inequality
Graph the equation of line
Consider a point
not.
Substitute
graph of
Graph of
The graph of
Combine the graph of
The region in clay color is the intersection of the graph of
This is the requires graph of the solution set of system of inequality.
Solve the equation of line corresponding to
Multiply both sides of
Substitute
The coordinates of all vertex is
The region of solution set of system of equation
Therefore, the region of solution set of system of equation
Conclusion:
Therefore, the region of solution set of system of equation
The coordinates of all vertex is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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