We have that
A (-3,-4)
B (-4,3)
C (2,2)
D (1,-2)
E (5,-4)
using a graph tool
see the attached figure N 1
<span>Part A: Using the graph above, create a system of inequalities that only contains points A and E in the overlapping shaded regions.
</span>A (-3,-4) E (5,-4)
y<= -3
y>=-5
is a system of a inequalities that will only contain A and E
<span>to graph it, I draw the constant y = -3 and y=-5 and </span>and I shade the region between both lines
see the attached figure N 2
<span>Part B: Explain how to verify that the points A and E are solutions to the system of inequalities created in Part A
</span>
we know that
the system of a inequalities is
y<= -3
y>=-5
the solution is all y real numbers belonging to the interval [-5,-3]
therefore
if points A and E are solutions both points must belong to the interval
points A and E have the same coordinate y=-4
and y=-4 <span>is included in the interval
</span>therefore
both points are solution
<span>Part C: Chickens can only be raised in the area defined by y < −2x + 4. Explain how you can identify farms in which chickens can be raised
step 1
</span><span>graph the inequality
</span>y < −2x + 4
see the attached figure N 3
the farms in which chickens can be raised are the points A, B and D
are those that are included in the shaded part