Challenge 25 Q1 : Quant Question Archive [LOCKED]
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# Challenge 25 Q1

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Manager
Joined: 14 Sep 2007
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05 Nov 2007, 18:18
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
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 11

Kudos [?]: 850 [0], given: 4

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05 Nov 2007, 18:28
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
Joined: 29 Aug 2007
Posts: 2492
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Kudos [?]: 734 [0], given: 19

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05 Nov 2007, 19:03
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
Joined: 07 Jul 2004
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Location: Singapore
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05 Nov 2007, 19:13
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
Joined: 14 Sep 2007
Posts: 98
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Kudos [?]: 22 [0], given: 0

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05 Nov 2007, 20:16
Thanks guys, I think I've finally wrapped my brain around it!
05 Nov 2007, 20:16
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