GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jun 2018, 01:46

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is |x-6| > 5? 1. x is an integer 2. x^2 < 1

Author Message
Senior Manager
Joined: 10 Mar 2008
Posts: 333
Is |x-6| > 5? 1. x is an integer 2. x^2 < 1 [#permalink]

### Show Tags

29 Dec 2008, 20:34
Is |x-6| > 5?

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

--== 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.
Manager
Joined: 27 May 2008
Posts: 193

### Show Tags

29 Dec 2008, 22:19
should be E

|x-6| > 5 can be written as x>11 and x<1 on the number line

1) x is an integer - INSUFF - coz X can be any number.
2) x^2 < 1 which can be written as |X| < 1 --->In a number line X<1 and X>-1 - INSUFF

Combining both inSUFF

OA?
VP
Joined: 17 Jun 2008
Posts: 1479

### Show Tags

30 Dec 2008, 02:49
From stmt2:
-1 < x < 1
or, -7 < x-6 < -5
or, 5 < |x-6| < 7

Senior Manager
Joined: 10 Mar 2008
Posts: 333

### Show Tags

30 Dec 2008, 06:55
OA - B.

scthakur - could you please explain statement b in detail. Thanks!
Senior Manager
Joined: 23 May 2008
Posts: 387

### Show Tags

30 Dec 2008, 22:08
VP
Joined: 17 Jun 2008
Posts: 1479

### Show Tags

30 Dec 2008, 22:59
1
From stmt2:
x^2 < 1, this means, -1 < x < 1
We need to compare (x-6), hence, subtract 6 from all the sides of the above inequality.
Thus, (-1-6) < (x-6) < (1-6)
or, -7 < (x-6) < -5

That means, absolute value of (x-6) will be between 5 and 7
i.e. 5 < |x-6| < 7

And this clearly explains that |x-6| > 5. Hence, sufficient.
Senior Manager
Joined: 23 May 2008
Posts: 387

### Show Tags

30 Dec 2008, 23:06
scthakur wrote:
From stmt2:
x^2 < 1, this means, -1 < x < 1
We need to compare (x-6), hence, subtract 6 from all the sides of the above inequality.
Thus, (-1-6) < (x-6) < (1-6)
or, -7 < (x-6) < -5

That means, absolute value of (x-6) will be between 5 and 7
i.e. 5 < |x-6| < 7

And this clearly explains that |x-6| > 5. Hence, sufficient.

so silly of me why couldn't i get this........
anyways thanks a lot
SVP
Joined: 29 Aug 2007
Posts: 2426

### Show Tags

31 Dec 2008, 13:03
vksunder wrote:
Is |x-6| > 5?

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

(x^2<1) and (x<1), which is not provided in the question, are two entirely different things but both are/would be sufficient to answer the question if x<1 were also provided as supplimentary information.

(x^2<1) has limits but (x<1) has no limit.
In (x^2<1), x is > -1 but < 1.
In (x<1), x could have any value smaller than 1.
So B is suff.
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Manager
Joined: 12 Oct 2008
Posts: 101

### Show Tags

31 Dec 2008, 13:51
I agree, it is B

I'd strongly recommend reading this http://www.manhattangmat.com/strategy-s ... -value.cfm for people having trouble with absolute value. It really helped me.
VP
Joined: 05 Jul 2008
Posts: 1340

### Show Tags

03 Jan 2009, 17:29
[quote="vksunder"]Is |x-6| > 5?

1. x is an integer
2. x^2 5

If we consider x-6 to be +ve we get x > 11. If we consider x -ve we get x <1

so the Q is 11<x<1 ??

Clearly B says that x is +ve or -ve fraction or 0, all of those do not lie between 11 and 1

Hence B is suff

--== 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: Absolute Value - Could someone please explain this problem   [#permalink] 03 Jan 2009, 17:29
Display posts from previous: Sort by

# Is |x-6| > 5? 1. x is an integer 2. x^2 < 1

Moderator: chetan2u

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.