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

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Joined: 05 Dec 2017
Posts: 20
GPA: 3.35
If |x - 1| > 2, which of the following must be true?  [#permalink]

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Updated on: 20 Mar 2018, 20:48
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55% (hard)

Question Stats:

53% (01:30) correct 48% (01:43) wrong based on 200 sessions

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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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Math Expert
Joined: 02 Sep 2009
Posts: 58327
Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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20 Mar 2018, 20:50
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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.

|x - 1| > 2;

x - 1 > 2 or x - 1 < -2;

x > 3 or x < -1.

If x = -2, none of the options must be true.

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

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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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22 Mar 2018, 05:34
can someone please explain this question ! i cannot understand this one
Math Expert
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Posts: 58327
Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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22 Mar 2018, 05:37
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Re: If |x - 1| > 2, which of the following must be true?  [#permalink]

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

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