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Is 1+x+x^2+x^3+x^4>1/(1-x)? 1). x>0 2). x<1

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Manager
Joined: 04 Sep 2006
Posts: 113
Is 1+x+x^2+x^3+x^4>1/(1-x)? 1). x>0 2). x<1 [#permalink]

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04 Jun 2009, 11:34
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Is 1+x+x^2+x^3+x^4>1/(1-x)?
1). x>0
2). x<1

--== Message from GMAT Club Team ==--

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Senior Manager
Joined: 16 Jan 2009
Posts: 349
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 14:55
Is 1+x+x^2+x^3+x^4>1/(1-x)?

1). x>0
1+x+x^2+x^3+x^4=1.X
Where X= x+x^2+x^3+x^4

Case 1:
1/(1-x) will be –ve for x>1
So , 1+x+x^2+x^3+x^4>1/(1-x)

Case 2:
1/(1-x) will be +ve for x<1

INSUFFICIENT

2). x<1

1/(1-x) will be +ve for x<1
INSUFFICIENT

TOGETHER :
For 1>x>0
1/(1-x) will be +ve
INSUFFICIENT
IMO E
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Lahoosaher

Manager
Joined: 11 Aug 2008
Posts: 137

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09 Jun 2009, 03:02
IMO C
1) with x=4 YES
With x=0.5 NO
2) with x=-3 YES
with x=0.5 NO
Together YES
Hence C
What 's the OA?
Manager
Joined: 28 Jan 2004
Posts: 201
Location: India

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09 Jun 2009, 23:11
E
Agree with amolsk11.
Senior Manager
Joined: 15 Jan 2008
Posts: 267

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10 Jun 2009, 01:26
IMO E too..

1+x+x2+x3+X4 2

hence E

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS   [#permalink] 10 Jun 2009, 01:26
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