30 points if you answer this ! im going to fail if i dont get this answered and dont look it up on or peer answer cause those are wrong. 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 d 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 d 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 > 2x − 2. explain how you can identify farms in which chickens can be raised. (2 points)

Part A:

An example of a system of inequalities that would only have D and F as solutions is and . These would both be dotted lines since its not greater than or equal to, and they would be shaded in the upper region since its greater than.

Part B:

You can verify by plugging in the coordinates of D and F into both inequalities. If the coordinates are true for both inequalities, then they are in the overlapping shaded region.

D = (2,4)

F = (-2,3)

true

true

Part C:

You can either plug the inequality into a graph. If the coordinate is in the shaded region, in this context it would be able to raise chickens in that farm.

The other option is plugging in the coordinates of each farm into the inequality. If the inequality is true for those coordinates, then that farm can raise chickens.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.