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# r^2+2>p*r

Author Message
VP
Joined: 18 May 2008
Posts: 1258

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22 Nov 2008, 04:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

I attempted 2 solve this quetion in this way:
required is :
is r^2+2>p*r

(1) p=r
in any case whether r is negative , positive or 0 if p=r then r^2+2>r^2
hence sufficient
(2) r>0 No information abt P hence Insufficient
Hence ans shld be A. but this is not the OA.
what is wrong in my approach?
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Manager
Joined: 05 Jul 2008
Posts: 136
GMAT 2: 740 Q51 V38

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22 Nov 2008, 06:18
ritula wrote:
I attempted 2 solve this quetion in this way:
required is :
is r^2+2>p*r

(1) p=r
in any case whether r is negative , positive or 0 if p=r then r^2+2>r^2
hence sufficient
(2) r>0 No information abt P hence Insufficient
Hence ans shld be A. but this is not the OA.
what is wrong in my approach?

r^2+2>r^2 but we must know whether r is negative or positive
p/(p2+2)>1/p if p<0
p/(p2+2)<1/p if p>0

Manager
Joined: 08 Aug 2008
Posts: 229

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22 Nov 2008, 06:55
$$1/p>r^2/r^2+2$$ only if $$p=r<>0$$.
if $$p=r=0$$, then the inequality doesn't hold.

hence, C.
Manager
Joined: 05 Jul 2008
Posts: 136
GMAT 2: 740 Q51 V38

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22 Nov 2008, 07:02
prasun84 wrote:
$$1/p>r^2/r^2+2$$ only if $$p=r<>0$$.
if $$p=r=0$$, then the inequality doesn't hold.

hence, C.

I don't understand what p=r<>0 means.
1/p > p/(p2+2) or not depends on whether p is positive or negative.
p can't be 0 is obvious.
Re: GMATPREP:   [#permalink] 22 Nov 2008, 07:02
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# r^2+2>p*r

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