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In the coordinate plane there is the area of the region shaded surrounded by 3 inequalities. Which of the following options can be these inequalities?
1) x>0
2) y>0
3) y<-3x+8
4) y>(1/2)x+4
5) y>(-1/2)x+4
A. 1), 3), 5) B. 1), 3), 4) C. 2), 3), 5) D. 2), 3), 4) E. 2), 4), 5)

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The area is surrounded by straight lines if we substitute inequality (< or >) with = , we should get equation of these 3 lines.
The 2 lines apart from the y-axis are having negative slope because x and y have opposite effects (i.e. one increases, the other decreases)
Option that have negative co-efficient of x and positive co-efficient of y can be equation of the line. Choice 3 and 5 have negative slope by co-efficient of x, -3 and -(1/2).
Now, we are left with the third side on the y-axis, x is always 0. So, x=0 is the third side. Inequality can be any of option 1, 3 and 5 which validate option A as the correct answer.

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rawat2583 wrote:
In the coordinate plane there is the area of the region shaded surrounded by 3 inequalities. Which of the following options can be these inequalities?
1) x>0
2) y>0
3) y<-3x+8
4) y>(1/2)x+4
5) y>(-1/2)x+4
A. 1), 3), 5) B. 1), 3), 4) C. 2), 3), 5) D. 2), 3), 4) E. 2), 4), 5)

Hello rawat2583,

What's the source of the question. It does not seem to be a GMAT question. Pl. post GMAT questions from genuine sources. Smile

-Jay
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