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# Is x^3 > x^2? (1) x > 0 (2) x^2 > x

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Manager
Joined: 28 Mar 2009
Posts: 70
Is x^3 > x^2? (1) x > 0 (2) x^2 > x [#permalink]

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05 Jun 2009, 20:18
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Is x^3 > x^2?

(1) x > 0

(2) x^2 > x

--== 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.
Director
Joined: 03 Jun 2009
Posts: 772
Location: New Delhi
WE 1: 5.5 yrs in IT

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05 Jun 2009, 23:14
skim wrote:
Is x^3 > x^2?

(1) x > 0

(2) x^2 > x

we need to prove if x^3>x^2
since x^2 will always be a +ve value, dividing x^2 from both sides of the inequality will not change the inequality
=> hence, we need to prove if x > 1

(1) x > 0. Insufficient, as it doesn't confirm if x>1

(2) x^2 > x Insufficient
x can be either +ve or -ve
Case I. when x is +ve
Dividing x from both sides of x^2>x, inequality sign remains unchanged
=> x > 1
Case II. when x is -ve
Dividing x from both sides of x^2>x, inequality sign would be inverted
=> x 1, which is what we wanted to check

--== 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.

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Re: inequalities (I)   [#permalink] 05 Jun 2009, 23:14
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