Question

Whoever answers this fully will get brainliest. 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. Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised.

Answer 1

Answer:

Step-by-step explanation:

a. the inequality is x+y >= 2  (red line) that keeps onlythe two farms in the region.

b. substituting the coordinates of the farms in the inequality and see if they are satisfied:

C(2,2)  2+2 = 4 > 2    checks

F(3,4)   3+4 = 7 > 2    checks.

The other farms will not , for example,

D(1,-2) 1-2 = -1 < 2     does not check.

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c. y > -4x + 3 is shown in blue.

Farms that satisfy given inequality can raise chickens, i.e. to the right of the blue line, or farms C,E and F.

If necessary, we can again check by the coordinates as in part b.

C(2,2)   -4(2) + 2 = -8+2 = -6   y=2 > -6, so checks.

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