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# If x and y are positive, is 4x > 3y? (1) x > y - x (2)

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Director
Joined: 01 Apr 2008
Posts: 829
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
If x and y are positive, is 4x > 3y? (1) x > y - x (2) [#permalink]

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22 Mar 2009, 23:22
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If x and y are positive, is 4x > 3y?
(1) x > y - x
(2) x/y < 1
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Director
Joined: 14 Aug 2007
Posts: 697

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23 Mar 2009, 01:39
E.
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Manager
Joined: 06 Jul 2007
Posts: 249

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23 Mar 2009, 08:45
[quote="Economist"]If x and y are positive, is 4x > 3y?
(1) x > y - x
(2) x/y y -x

=> x = y -x +k where k is a positive number

2x = k+y
4x = 2k + 2y

depending upon k, 4x may or may not be greater than 3y

Fact 2: x x+h = y

4x = 4y -4h

depending upon h, 4x may or may not b greater than 3y

combining both Fact 1 and Fact 2 together :

2k + 2y = 4y - 4h
y = k + 2h
=> 3y = 3k + 6h and 4x = 4k + 4h

again we are not sure whether 4x > 3y because we don't know the values of h and k.

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: Inequality   [#permalink] 23 Mar 2009, 08:45
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