Which ordered pairs are in the solution set of the system of linear inequalities?
y> = -1/2x
y< 1/2x+1
a. (5,-2), (3, 1), (-4, 2)
b. (5,-2), (3, -1), (4, -3)
c. (5,-2), (3, 1), (4,2)
d. (5,-2), (-3,1), (4,2)

c.  (5,-2), (3, 1), (4,2).

Step-by-step explanation:

The solutions are in the dark red area, with some on the continuous blue line but none on the red dotted line.

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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