Sketch the graph of the solution set of system of inequalities and label the vertices of the region.
Answer to Problem 35E
The graph for the first inequality is the set of all points lying to the right of the line (1)
The graph for the second inequality is the half-plane lying to the left the line (2)
Explanation of Solution
Given:
The system of linear inequalities is:
Now, find the points of each pair of equations.
First, solve equations (1) and (2),
Multiply equation (1) by -3 and add to equation (2)
Adding these two equations
This is not possible.
Therefore, the lines are parallel
Therefore, there is no common region between the two.
Therefore, the system has no solution.
Therefore, the graph with the solution set of the system of inequalities is shown below:
Chapter 7 Solutions
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