Use your knowledge of systems of linear inequalities to provide responses. Use complete sentences and math vocabulary. Show your work where appropriate.

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1. Determine if each of the following points is a solution to the system of inequalities shown above. Explain your reasoning.
1. (6, −1)
2. (−2, 5)
3. (0, 0)


2. Plot two points that are included in the solution set of the system of inequalities. Label the points A and B.


3. Plot two points that are not included in the solution set of the system of inequalities. Label the points C and D.

4. The system of linear inequalities shown in the graph above has no solutions. Analyze the graph of the system. Explain why it has no solutions.


5. Is (−1, −1) a solution to the following system of inequalities? Show work to verify algebraically. Then, provide an explanation below.
   
   y ≥ 4x + 3
   y − 2x ≥ 1

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