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 Post subject: EIV Chap 6 Qn 3
 Post Posted: Sat Jul 04, 2009 1:12 am 
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Course Students


Posts: 3
Hi,

Is there another way to solve this problem?

What I did was this:
G^2 < G
G(G-1) < 0
G < 0 or G < 1
Therefore G<0.


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 Post subject: Re: EIV Chap 6 Qn 3
 Post Posted: Fri Jul 31, 2009 12:20 am 
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ManhattanGMAT Staff


Posts: 753
Hi,

I don't think your approach to this question is quite right.
Quote:
What I did was this:
G^2 < G
G(G-1) < 0
G < 0 or G < 1
Therefore G<0.


"G(G-1) < 0" does not necessarily lead to "G < 0 or G < 1". In fact, "G < 0 or G < 1" actually means G < 1 (since OR means you must combine both inequalities).

G(G-1) < 0 means that G and (G-1) have opposite signs The only region where this is true is between 0 and 1.

Another way to look at this problem is:
If G^2 < G, the only interval where it's true that the square is smaller than a number is between 0 and 1. (See Number Properties Strategy Guide page 65)

Hope that helps!

_________________
Ben Ku
Instructor
ManhattanGMAT


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