Towrite:The system of linear inequalities for given graph with given characteristics.
Answer to Problem 35PPE
The system of inequalities with required characteristics is
Explanation of Solution
Given information:
The graph of system of inequalities is shown in Figure-1 here.
The characteristic of inequalities that there is no solution in Quadrants I, II, III and IV.
Method used:
Find equations of lines (boundaries of shaded portions) and write inequalities corresponding to obtained lines.
Calculations:
The given Quadrants I, II, III, and IV are bounded by the lines
Therefore, the system of inequalities whose solutions do not lie in Quadrants I, II, III, and IV is the region beyond these lines given by
Verification:
The graph for the system of inequalities
Hence, the system of inequalities with required characteristics is
Conclusion:
The system of inequalities with required characteristics is
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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