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# GMAT Prep Inequality PS

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Senior Manager
Joined: 22 Jun 2006
Posts: 285
GMAT Prep Inequality PS [#permalink]

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21 Apr 2007, 09:53
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Can someone explain how the following question would be solved?

Question: All points (x,y) that lie below the line l, shown above, satisfy which of the following inequalities?
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Intern
Joined: 28 Dec 2006
Posts: 13

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21 Apr 2007, 10:45
Using the y = mx + b formula for a line. First fill in the forumla for the line l displayed. slope = -3/6 and y-intercept is 3.

So line l is y = (-3/6)x + 3. Now form the inequality to represent all points below that line.
Current Student
Joined: 22 Apr 2007
Posts: 1097

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24 Apr 2007, 18:08
An easier solution is:

If you put x = 6, only the last option gives y = 0. So, E is the answer
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

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24 Apr 2007, 20:08
Eqn of line: y = mx+c

c = 3, m = -1/2

so y = -x/2 + 3

Everything point that lines below the line must be y < -x/2 +3

(a side-note: every point that lies above the line must be y > -x/2+3)
24 Apr 2007, 20:08
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# GMAT Prep Inequality PS

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