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Challenge 25 Q1

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Manager
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Joined: 14 Sep 2007
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Challenge 25 Q1 [#permalink]

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New post 05 Nov 2007, 19:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is |x - 6| > 5 ?

1) x is an integer
2) x^2 < 1

Answer is B but according to a text, inequalities that involve absolute value have two solutions. In this case they are actually 4 possibiliites because of the x^2. So I would like to understand how the answer could be B.

Since, if you pick a number lets say 1/2 based on the 2nd clue that x^2 <1> 5 giving you -5 and 1/2 > 5 not true
2) -1/2 +6 > 5 giving you 5 and 1/2 > 5 true
3) -1/2 - 6 > 5 giving you -6 and 1/2 > 5 not true
4) - -1/2 + 6 > 5 giving you 6 and 1/2 > 5 true.

Where am I wrong?
CEO
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Re: Challenge 25 Q1 [#permalink]

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New post 05 Nov 2007, 19:28
Columbia08 wrote:
Is |x - 6| > 5 ?

1) x is an integer
2) x^2 < 1

Answer is B but according to a text, inequalities that involve absolute value have two solutions. In this case they are actually 4 possibiliites because of the x^2. So I would like to understand how the answer could be B.

Since, if you pick a number lets say 1/2 based on the 2nd clue that x^2 <1> 5 giving you -5 and 1/2 > 5 not true
2) -1/2 +6 > 5 giving you 5 and 1/2 > 5 true
3) -1/2 - 6 > 5 giving you -6 and 1/2 > 5 not true
4) - -1/2 + 6 > 5 giving you 6 and 1/2 > 5 true.

Where am I wrong?


nice! i am glad i am not the only one to notice it. here is the reason.

http://www.urch.com/forums/gmat-problem ... stion.html
SVP
SVP
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Re: Challenge 25 Q1 [#permalink]

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New post 05 Nov 2007, 20:03
Columbia08 wrote:
Is |x - 6| > 5 ?

1) x is an integer
2) x^2 < 1

Answer is B but according to a text, inequalities that involve absolute value have two solutions. In this case they are actually 4 possibiliites because of the x^2. So I would like to understand how the answer could be B.

Since, if you pick a number lets say 1/2 based on the 2nd clue that x^2 <1> 5 giving you -5 and 1/2 > 5 not true
2) -1/2 +6 > 5 giving you 5 and 1/2 > 5 true
3) -1/2 - 6 > 5 giving you -6 and 1/2 > 5 not true
4) - -1/2 + 6 > 5 giving you 6 and 1/2 > 5 true.

Where am I wrong?



the red parts are not true.
from i, x could be any integer such as -1, 0, 1, 2 and so on. nsf.
from ii, -1 < x < 1. suff.
GMAT Club Legend
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 [#permalink]

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New post 05 Nov 2007, 20:13
St1:
If x = 2, then |x-6| <5> 5
Insufficient.

St2:
x must be a fraction less than 1. So |x-6| < 5. Sufficient.

Ans B
Manager
Manager
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 [#permalink]

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New post 05 Nov 2007, 21:16
Thanks guys, I think I've finally wrapped my brain around it!
  [#permalink] 05 Nov 2007, 21:16
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Challenge 25 Q1

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