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# If w + x < 0, is w - y < 0? (1) x + y < 0 (2) y

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Manager
Joined: 19 May 2008
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If w + x < 0, is w - y < 0? (1) x + y < 0 (2) y [#permalink]

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26 Oct 2008, 15:49
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If w + x < 0, is w - y < 0?
(1) x + y < 0
(2) y < x < w

Could you tell the answer and the rationale? I will post the OA later.

Kudos [?]: 12 [0], given: 0

VP
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 704 [0], given: 1

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26 Oct 2008, 19:50
tharunv wrote:
If w + x < 0, is w - y < 0?
(1) x + y < 0
(2) y < x < w

Could you tell the answer and the rationale? I will post the OA later.

from stem : w < -x, is w < y ?

(1) y < -x . This is in sufficient. y may or may not be greater than w.
(2) y < x < w -----> w > y. This is sufficient.

B ??
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Kudos [?]: 704 [0], given: 1

VP
Joined: 05 Jul 2008
Posts: 1402

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26 Oct 2008, 22:19
can't we subtract two inequalities to arrive at a third inequality? I know we can add up two inequalities to arrive at 3rd one.

(1) w + x < 0
(2) x + y < 0

If we subtract 2 from 1 we do get w-y < 0

How ever the second part says w-y > 0

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SVP
Joined: 17 Jun 2008
Posts: 1535

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26 Oct 2008, 22:27
icandy wrote:
can't we subtract two inequalities to arrive at a third inequality? I know we can add up two inequalities to arrive at 3rd one.

(1) w + x < 0
(2) x + y < 0

If we subtract 2 from 1 we do get w-y < 0

How ever the second part says w-y > 0

No, you cannot. Look at the following examples,

-2 < 0
-3 < 0

(-2) - (-3) = 1 >0.

or (-3) - (-2) = -1 < 0

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SVP
Joined: 05 Jul 2006
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27 Oct 2008, 07:19
[quote="tharunv"]If w + x < 0, is w - y < 0?
(1) x + y < 0
(2) y < x < w

given

w< -x, is w<y

rom 1

x<-y thus -x> y,..... no correlation ........insuff

from2

y<x<w thus y<w.........suff

B

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Manager
Joined: 19 May 2008
Posts: 163

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Location: Mumbai

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27 Oct 2008, 11:26
Thanks for the responses. OA is B. 1 is insufficient and 2 is sufficient.

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Re: DS: Maths   [#permalink] 27 Oct 2008, 11:26
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