Confusing geometry problem

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by limestone » Fri Oct 15, 2010 9:36 pm
Hi,

Note that P is to the upper side of lines m and n. And P is to the lower side of line L.

So we can shift the focus to line L's equation as it is different from the other 2.

The answer should be something involving y = 3x - 3. And D: 3r - t < 3 gets that. So pick D.

If you want to go further:

P is to the lower side of line L means y(P) < 3*x(P) - 3

To come up with the above conclusion, take H (r,z) on the line L. H has the same x coordinate with P and is above P,then z>t. Meanwhile, z = 3r - 3 ( z belongs to line L), so t < 3r - 3,

or we can say t - 3r <3 ,and this is different from 3r - t < 3 in D.

Hope it helps.
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by pesfunk » Mon Nov 01, 2010 4:37 pm
Is this a GMAT question ?
naveendevaraj wrote:Hi,


Image


Please help me with this problem by explanations.Thanks in advance