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# Is x-y+1 greater than x+y-1 ?

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Is x-y+1 greater than x+y-1 ?  [#permalink]

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30 Sep 2010, 22:11
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19
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25% (medium)

Question Stats:

71% (01:06) correct 29% (01:23) wrong based on 484 sessions

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Is x-y+1 greater than x+y-1 ?

(1) x > 0
(2) y < 0
Math Expert
Joined: 02 Sep 2009
Posts: 59709
Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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30 Apr 2012, 09:58
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Is x-y+1 greater than x+y-1 ?

Is x-y+1>x+y-1? --> x's cancel out and we get: is 2>2y? --> is y<1?

(1) x > 0. Not sufficient.
(2) y < 0. The answer to the question is YES. Sufficient.

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Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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30 Sep 2010, 22:32
2
Michmax3 wrote:
Is x-y+1 greater than x+y-1

1) x>0
2) y<0

x-y+1 > x+y-1
1-y > y-1
2y < 2
y < 1

1) does not talk about x. Insufficient
2) implies y<1.
Sufficient

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Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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01 Sep 2014, 10:52
Hi Bunuel,

y<1 can also mean y=0 right.. how can we assume y<1 is equal to y<0?
please clarify if i am missing some point..
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Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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01 Sep 2014, 10:55
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1
janani28 wrote:
Hi Bunuel,

y<1 can also mean y=0 right.. how can we assume y<1 is equal to y<0?
please clarify if i am missing some point..

The question asks whether y is less than 1. The second statement says that y is a negative number, so it must be less than 1.

Does this make sense?
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Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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28 Oct 2015, 20:58
3
Is x-y+1>x+y-1?

On rearranging the variables,
we get 2>2y? or simply y<1?

Hence our new question stem becomes: Is y less than 1?

Statement 1: x > 0. No information about y. NOT SUFFICIENT
Statement 2: y < 0. From this, we can safely say that y will be less than 1
SUFFICIENT

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Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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14 Jul 2016, 05:53
Where can I practice more of these qsn types??I was not able to think of simplifying the qsn stem ,really need to work on Inequalities
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Posts: 59709
Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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14 Jul 2016, 06:02
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Re: Is x-y+1 greater than x+y-1 ?  [#permalink]

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19 Feb 2019, 07:44
Top Contributor
Michmax3 wrote:
Is x-y+1 greater than x+y-1 ?

(1) x > 0
(2) y < 0

Target question: Is x - y + 1 > x + y - 1 ?
This is a good candidate for rephrasing the target question.

Take: x - y + 1 > x + y - 1
Subtract x from both sides to get: -y + 1 > y - 1
Add y to both sides to get: 1 > 2y - 1
Add 1 to both sides to get: 2 > 2y
Divide both sides by 2 to get: 1 > y
REPHRASED target question: Is y < 1?

The video below has tips on rephrasing the target question

Statement 1: x > 0
Since we have no information about y, we cannot answer the REPHRASED target question with certainty
Statement 1 is NOT SUFFICIENT

Statement 2: y < 0
In other words, y is NEGATIVE
If is NEGATIVE, then y is definitely less than 1
So, the answer to the REPHRASED target question is YES, y IS less than 1
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent

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Re: Is x-y+1 greater than x+y-1 ? (1) x > 0 (2) y < 0  [#permalink]

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06 Jun 2019, 02:54
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Re: Is x-y+1 greater than x+y-1 ? (1) x > 0 (2) y < 0   [#permalink] 06 Jun 2019, 02:54
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