Question

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 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)

Answer 1

y > = 4
y > = x + 4

y > = 4.......this is a horizontal line with a y int of 4.....so go to 4 on ur y axis, and draw a line going horizontal...all the way across....and since it is greater then, shade above the line...and since there is an equal sign, the line should be solid.

y > = x + 4....this has a y int of 4 or (0,4).....the slope is 1....the x int is (-4,0)....since it is greater, it will be shaded above the line...and since there is an equal sign, the line will be solid.

D and E are solutions because when u graph these lines, they both fall into the shaded region and are therefore solutions