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If |x - 1| > 2, which of the following must be true?

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If |x - 1| > 2, which of the following must be true?  [#permalink]

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New post Updated on: 20 Mar 2018, 20:48
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Question Stats:

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If |x - 1| > 2, which of the following must be true?

(I) \(|x|>3\)
(II) \(x^{2} >9\)
(III) \(x>3\)

A. I only
B. II only
C. I and II only
D. II and III only
E. None of the above.

Originally posted by Jamil1992Mehedi on 20 Mar 2018, 20:41.
Last edited by Bunuel on 20 Mar 2018, 20:48, edited 1 time in total.
Added the OA.
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Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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New post 20 Mar 2018, 20:50
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Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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New post 20 Mar 2018, 22:48
Jamil1992Mehedi wrote:
If |x - 1| > 2, which of the following must be true?

(I) \(|x|>3\)
(II) \(x^{2} >9\)
(III) \(x>3\)

A. I only
B. II only
C. I and II only
D. II and III only
E. None of the above.


Take \(x = -1.1\)..... All the conditions will fail... Hence E.
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Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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New post 22 Mar 2018, 05:34
can someone please explain this question ! i cannot understand this one
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Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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New post 22 Mar 2018, 05:37
renjana wrote:
can someone please explain this question ! i cannot understand this one

Solution is given here: https://gmatclub.com/forum/if-x-1-2-whi ... l#p2033362


Theory is below

10. Absolute Value


[/list]

For more check Ultimate GMAT Quantitative Megathread



If still not clear please ask specific questions.
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Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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New post 11 Jun 2019, 19:43
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Re: If |x - 1| > 2, which of the following must be true?   [#permalink] 11 Jun 2019, 19:43
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