Will award 30 points and will mark
the coordinate plane below represents a town. points a through f are farms in the town.

part a: using the graph above, create a system of inequalities that only contains points c and f 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 c and f 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 < 5x − 3. explain how you can identify farms in which chickens can be raised. (2 points)

PART A
First, I make two inequality system that match point C (-4,2) and F (-2,3)
x + y > -5
x - y < -3

Second, I will draw the line of x + y = -5 and x – y = 3
See image 1

Third, I shade the solution area
See image 2

PART B
How to confirm: input (-4,2) and (-2,3) to the inequality system
Point (-4,2)
x + y > -5
-4 + 2 > -5
-2 > -5 (True, confirmed)

x – y <-3
-4 - 2 < -3
-6 < -3 (True, confirmed)

Point (-2,3)
x + y > -5
-2 + 3 > -5
1 > -5 (True, confirmed)

x – y <-3
-2 - 3 < -3
-5 < -3 (True, confirmed)

PART C
First, draw the line of y = 5x - 3
See image 3

Second, shade the solution area of y < 5x - 3
See image 4

The chicken can be raised in point D, E, A

You would get a 1/52 chance that the card will be an ace.