Question

PLEASE HELP WILL AWARD 30 POINTS AND WILL MARK BRAINLIEST!!!!
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)

Answer 1

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.

Not sure... about part C though sorry...

Answer 2

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