To find: the system of linear inequalities that has exactly one solution.
Answer to Problem 47E
The system of linear inequalities with exactly one solution are given and the graph is drawn.
Explanation of Solution
Given:
A system of linear inequalities that has exactly one solution.
Concept used:
For a system of linear inequalities that has exactly one solution.
It means the system of inequalities must have only one point in the intersection of graphs of inequalities.
Graphing the inequalities, it will graph the ordinary linear functions just like it is done before. The difference is that a solution to the inequality is not the drawn line but the area of the coordinate plane that satisfy the inequality. the boundary line is dashed for
Calculation:
Write the system of linear inequalities that has exactly one solution in the solution set.
It means the system of inequalities must have only one point in the intersection of graphs of inequalities.
Consider the below inequalities.
Graph the given system of linear inequalities.
The graph of the inequalities
Hence, the system of linear inequalities with exactly one solution are given and there graph is drawn.
Chapter 5 Solutions
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