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# If y is greater than equal to zero, what is the value of x:

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Manager
Joined: 19 Oct 2008
Posts: 88
If y is greater than equal to zero, what is the value of x: [#permalink]

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28 Mar 2009, 09:30
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If y is greater than equal to zero, what is the value of x:

1) |x-3|is greater than equal to y
2) |x-3| is less than equal to -y

--== Message from GMAT Club Team ==--

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Manager
Joined: 19 May 2008
Posts: 157
Location: Mumbai
Re: GMAT Prep DS Inequalities [#permalink]

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28 Mar 2009, 11:00
State 1 is not sufficient
State 2 is also insufficient.

Combining the 2, it is insufficient. So answer is E. What is the OA?
Manager
Joined: 19 Aug 2006
Posts: 226
Re: GMAT Prep DS Inequalities [#permalink]

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28 Mar 2009, 11:37
Accountant wrote:
If y is greater than equal to zero, what is the value of x:

1) |x-3|is greater than equal to y
2) |x-3| is less than equal to -y

I choose B.
What is the OA?
Manager
Joined: 19 Aug 2006
Posts: 226
Re: GMAT Prep DS Inequalities [#permalink]

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28 Mar 2009, 12:12
tharunv wrote:
Why B?

Since it's given that y>=0, then -y is either 0 or negative.
Since it is given that |x-3|<=-y, and |x-3| cannot be less than a negative number, then the only possible solution is when |x-3|=0, or x=3.

--== 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: GMAT Prep DS Inequalities   [#permalink] 28 Mar 2009, 12:12
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