The coordinate plane below represents a town. Points A through F are farms in the town. graph of coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3. Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A. (3 points) Part C: Chickens can only be raised in the area defined by y > 3x − 4. Explain how you can identify farms in which chickens can be raised. (2 points)
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Answer:
For part a,y < x y > -2xPoint B: (3,1) plugin x=3, y=1 y < x 1 < 3which is true, so point B satisfies the first inequality You can graph the inequality y > 2 x + 5 and see which schools are in the shaded region
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