Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 22 May 2015, 11:29

### 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

# X/|X| < X. Which of hte following must be true about X?

Author Message
TAGS:
Intern
Joined: 27 Nov 2005
Posts: 1
Followers: 0

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

X/|X| < X. Which of hte following must be true about X? [#permalink]  09 Apr 2007, 03:03
6. X/|X| < X. Which of hte following must be true about X?

a) x>1
b) x>-1
c) |x| <1
d) |x| = 1
e) |x|^2>1

According to GMAT club's answer sheet, the answer is b. How is this possible? If X = 0 then the equation cannot be solve and if X=1 then 1=1, which breaks the all true rule about X. The answer should be A.

I don't know if the answer is wrong or the question is worded incorrectly.

If anyone from the GMAT Club is reading this, please clarify. Thanks!!!
 Kaplan GMAT Prep Discount Codes Knewton GMAT Discount Codes GMAT Pill GMAT Discount Codes
Intern
Joined: 11 Feb 2007
Posts: 30
Followers: 0

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

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.
SVP
Joined: 01 May 2006
Posts: 1804
Followers: 8

Kudos [?]: 100 [0], given: 0

First of all.... Welcome to the GMATClub ! :D

(B) it is

X/|X| < X
<=> X < X*|X| as |X| > 0 and x must be different to 0.
<=> X - X*|X| < 0
<=> X*(1-|x|) < 0

implies that:
o x <0 and 1-|x| > 0 <=> |x| < 1
or
o x > 0 and 1-|x| < 0 <=> |x| > 1

so,
o -1 < x < 0
or
o x > 1

In other words, x must be superior to -1
VP
Joined: 03 Apr 2007
Posts: 1376
Followers: 3

Kudos [?]: 270 [0], given: 10

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.
SVP
Joined: 01 May 2006
Posts: 1804
Followers: 8

Kudos [?]: 100 [0], given: 0

goalsnr wrote:

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 < x < 0 or x > 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true".

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure.
VP
Joined: 03 Apr 2007
Posts: 1376
Followers: 3

Kudos [?]: 270 [0], given: 10

Fig wrote:
goalsnr wrote:

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 < x <0> 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true".

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure.

Thanks for making this clear.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5077
Location: Singapore
Followers: 22

Kudos [?]: 186 [0], given: 0

Fig wrote:
goalsnr wrote:

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 < x <0> 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true".

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure.

Well said, I couldn't say it better
SVP
Joined: 01 May 2006
Posts: 1804
Followers: 8

Kudos [?]: 100 [0], given: 0

ywilfred wrote:
Fig wrote:
goalsnr wrote:

if x = -0.1, it satisfies the true rule.

x=0, i think, is a bad example.

But it fails for x=0.So the answer cannot be B

A makes sense.

If -1 < x <0> 1, then x must be superior to -1. Even larger, it's the only answer choice that conveys all solutions and thus satisfies the "must be true".

Notice that it is not stated to find only the solutions. It says a condition that "must be true" about x. Here, x will be superior to -1, for sure.

Well said, I couldn't say it better

Thanks
Similar topics Replies Last post
Similar
Topics:
10 If x/|x|, which of the following must be true for all 10 15 Jan 2011, 11:44
2 If x/|x| < x, which of the following must be true about 25 06 Sep 2009, 21:14
129 If x/|x|<x which of the following must be true about x? 74 15 Aug 2008, 03:06
Given X/|X| < X. Which of the following must be true 17 06 Aug 2006, 13:35
X/ |X| < X. Which of the following must be true about X? 3 09 Sep 2005, 19:40
Display posts from previous: Sort by