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# If Y is an integer and Y = |X| + X, is Y = 0 X<0 Y<1

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Intern
Joined: 10 Feb 2009
Posts: 26
Location: Connecticut
If Y is an integer and Y = |X| + X, is Y = 0 X<0 Y<1 [#permalink]

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11 Mar 2009, 06:58
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If Y is an integer and Y = |X| + X, is Y = 0

X<0
Y<1

--== 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.
Manager
Joined: 19 Aug 2006
Posts: 226
Re: DS - is Y = 0 [#permalink]

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11 Mar 2009, 08:01
Allana25 wrote:
If Y is an integer and Y = |X| + X, is Y = 0

X<0
Y<1

Y = |x|+x

1. x<0
since x<0, then whatever values you take for x, y will always be 0.
e.g.
|-5|-5=5-5=0
|-1|-1=1-1=0
suffic.

2. y<1
since y can never be a negative number because y=|x|+x, then y>=0. Since it's given y<1, then y=0.
suffic.

Intern
Joined: 10 Feb 2009
Posts: 26
Location: Connecticut
Re: DS - is Y = 0 [#permalink]

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11 Mar 2009, 08:56
Thats what I got. But I saw this question at another forum and they said A. I think D is the correct answer.
Director
Joined: 01 Aug 2008
Posts: 641
Re: DS - is Y = 0 [#permalink]

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11 Mar 2009, 10:25
peraspera wrote:
Allana25 wrote:
If Y is an integer and Y = |X| + X, is Y = 0

X<0
Y<1

Y = |x|+x

1. x<0
since x<0, then whatever values you take for x, y will always be 0.
e.g.
|-5|-5=5-5=0
|-1|-1=1-1=0
suffic.

2. y<1
since y can never be a negative number because y=|x|+x, then y>=0. Since it's given y<1, then y=0.
suffic.

in second case, put x = 0.1 you get y = 0.2 which is less than 1 ..and put x = -0.1, y = 0. which is also less than 1 so case 2 is wrong.

Director
Joined: 01 Aug 2008
Posts: 641
Re: DS - is Y = 0 [#permalink]

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11 Mar 2009, 10:28
ugimba wrote:
peraspera wrote:
Allana25 wrote:
If Y is an integer and Y = |X| + X, is Y = 0

X<0
Y<1

Y = |x|+x

1. x<0
since x<0, then whatever values you take for x, y will always be 0.
e.g.
|-5|-5=5-5=0
|-1|-1=1-1=0
suffic.

2. y<1
since y can never be a negative number because y=|x|+x, then y>=0. Since it's given y<1, then y=0.
suffic.

in second case, put x = 0.1 you get y = 0.2 which is less than 1 ..and put x = -0.1, y = 0. which is also less than 1 so case 2 is wrong.

oh ...Y is integer here so ... didn't see that ... I guess you can't substitute 0.1 for x .. I think D should be good then.
Director
Joined: 01 Apr 2008
Posts: 827
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: DS - is Y = 0 [#permalink]

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11 Mar 2009, 11:22
when x<0, |x| = -x...so the first eq becomes
Y = -x + (-x) = -2x ?????
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1345
Re: DS - is Y = 0 [#permalink]

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11 Mar 2009, 17:02
1
Economist wrote:
when x<0, |x| = -x...so the first eq becomes
Y = -x + (-x) = -2x ?????

When x is negative, you don't replace x with -x; if x is negative, then -x is a positive number. If x is negative, there is a negative sign 'inside' of x.

Now, if x is negative, you can replace |x| with -x, because if x is negative, -x will produce the 'positive equivalent' of x.
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Manager
Joined: 02 Mar 2009
Posts: 122
Re: DS - is Y = 0 [#permalink]

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15 Mar 2009, 02:35

But thanks Ian for this last bit. It made me see |x| in a different light. Never thought you could write |x| as -x when x is negative. Makes perfect sense.

Thanks.

--== 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 - is Y = 0   [#permalink] 15 Mar 2009, 02:35
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