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

It is currently 24 Apr 2014, 15:55

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is x > 1?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
Joined: 07 Apr 2012
Posts: 128
Location: United States
Concentration: Entrepreneurship, Operations
Schools: ISB '15
GMAT 1: 590 Q48 V23
GPA: 3.9
WE: Operations (Manufacturing)
Followers: 0

Kudos [?]: 7 [0], given: 45

Re: Is x>1 [#permalink] New post 28 Aug 2013, 12:08
Sorry, not sure understand your question. Can you please elaborate? Thank you.[/quote]

I mean to say, we define |X| as +x when x is greater than equal to zero, and -x when x is less than zero. But I have noticed you at times have taken x as -x based on x less than equal to zero ? I mean equality cant be on both sides right ? Infact I saw you explained definition of mod function keeping equality on both +x and - x, I hope you are able to make out what doubt I have.
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17396
Followers: 2890

Kudos [?]: 18502 [0], given: 2362

GMAT Tests User CAT Tests
Re: Is x>1 [#permalink] New post 29 Aug 2013, 03:34
Expert's post
ygdrasil24 wrote:
Sorry, not sure understand your question. Can you please elaborate? Thank you.


I mean to say, we define |X| as +x when x is greater than equal to zero, and -x when x is less than zero. But I have noticed you at times have taken x as -x based on x less than equal to zero ? I mean equality cant be on both sides right ? Infact I saw you explained definition of mod function keeping equality on both +x and - x, I hope you are able to make out what doubt I have.[/quote]

The point is that |0|=-0=0. So, in that definition we can include = sign in both cases.

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Senior Manager
Senior Manager
User avatar
Joined: 21 Oct 2013
Posts: 253
Followers: 2

Kudos [?]: 48 [0], given: 120

Is x > 1? (1): (x + 1)(|x| -1) > 0 (2): |x| < 5 [#permalink] New post 29 Mar 2014, 05:34
Is x > 1?

(1): (x + 1)(|x| -1) > 0
(2): |x| < 5


[Reveal] Spoiler:
(1):
If (x + 1) < 0 & (|x| - 1) < 0
x < -1
&
|x| < 1 -> -1 < x < 1
Not possible
If (x + 1) > 0 & (|x| - 1) > 0
x > -1
&
|x| > 1 --> x < -1 & 1 < x
Thus, 1 < x
Sufficient

(2): -5 < x < 5
Insufficient


Hi, this is good one.
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17396
Followers: 2890

Kudos [?]: 18502 [1] , given: 2362

GMAT Tests User CAT Tests
Re: Is x > 1? (1): (x + 1)(|x| -1) > 0 (2): |x| < 5 [#permalink] New post 29 Mar 2014, 08:24
1
This post received
KUDOS
Expert's post
goodyear2013 wrote:
Is x > 1?

(1): (x + 1)(|x| -1) > 0
(2): |x| < 5


[Reveal] Spoiler:
(1):
If (x + 1) < 0 & (|x| - 1) < 0
x < -1
&
|x| < 1 -> -1 < x < 1
Not possible
If (x + 1) > 0 & (|x| - 1) > 0
x > -1
&
|x| > 1 --> x < -1 & 1 < x
Thus, 1 < x
Sufficient

(2): -5 < x < 5
Insufficient


Hi, this is good one.


Merging similar topics. Please refer to the discussion on page 1.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Manager
Manager
User avatar
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 67
Location: India
Concentration: Finance, Strategy
GMAT Date: 05-01-2014
GPA: 3.5
WE: Consulting (Computer Hardware)
Followers: 0

Kudos [?]: 13 [0], given: 30

Re: Is x > 1? [#permalink] New post 04 Apr 2014, 21:15
enigma123 wrote:
Is x > 1?

(1) (x+1) (|x| - 1) > 0

(2) |x| < 5



Sol: (x+1) (|x| - 1) > 0

The RHS can only be positive if both are positive or both are negative
lets take -5 as value of x===> -ve *+ve ===>not possible
let's take 0 as value of x ==> 1* (-1) ===>not possible
let's take 1 as value (+ve) ===> 2* (0)===> not possible
let's take -1 as value (-ve) ====>0 *0 ====>not possible
so x != -ve, x != 0, x != 1 conditions apply. only remaining option is x>1 ....sufficient

2> ----(-5)@@@@@@(5)---------
-5<x<5 ...not sufficient since x is less than 1 here

final sol is A
Re: Is x > 1?   [#permalink] 04 Apr 2014, 21:15
    Similar topics Author Replies Last post
Similar
Topics:
Popular new posts 2 Experts publish their posts in the topic Is x > 1? gmattokyo 15 01 Nov 2009, 02:56
New posts 1 Experts publish their posts in the topic Is 1 > |x - 1| ? Hussain15 5 14 Jul 2010, 05:36
New posts 1 Experts publish their posts in the topic If x2>1? KTMHammer 2 12 Feb 2012, 11:00
New posts 8 Experts publish their posts in the topic Is 1 > |x-1| ? ankagl63 9 24 Jun 2013, 23:18
This topic is locked, you cannot edit posts or make further replies. New x>1? DelSingh 0 11 Aug 2013, 09:45
Display posts from previous: Sort by

Is x > 1?

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page   Previous    1   2   [ 25 posts ] 



GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.