Is x + |x| zero for all negative x ? : GMAT Quantitative Section
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 Feb 2017, 10:20

### 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 + |x| zero for all negative x ?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 12 Mar 2010
Posts: 383
Concentration: Marketing, Entrepreneurship
GMAT 1: 680 Q49 V34
Followers: 2

Kudos [?]: 177 [0], given: 87

Is x + |x| zero for all negative x ? [#permalink]

### Show Tags

19 Sep 2013, 08:50
If y = x + |x|, then is y=0 for all x<=0 ??
Math Expert
Joined: 02 Sep 2009
Posts: 37154
Followers: 7280

Kudos [?]: 96876 [0], given: 10808

Re: Is x + |x| zero for all negative x ? [#permalink]

### Show Tags

19 Sep 2013, 08:57
gmatter0913 wrote:
If y = x + |x|, then is y=0 for all x<=0 ??

Since x<=0, then |x|=-x, thus y = x + |x| = x - x = 0.
_________________
Intern
Joined: 18 Jul 2012
Posts: 13
Followers: 0

Kudos [?]: 18 [0], given: 6

Re: Is x + |x| zero for all negative x ? [#permalink]

### Show Tags

19 Sep 2013, 22:52
Hi,

X will be also be negative.If x = -2 then |x| = -2 and x + |x| = -2 + (-2) = -4?? Please explain me.
Math Expert
Joined: 02 Sep 2009
Posts: 37154
Followers: 7280

Kudos [?]: 96876 [0], given: 10808

Re: Is x + |x| zero for all negative x ? [#permalink]

### Show Tags

19 Sep 2013, 23:18
nroy347 wrote:
Hi,

X will be also be negative.If x = -2 then |x| = -2 and x + |x| = -2 + (-2) = -4?? Please explain me.

|-2| = 2, so if x=-2, then y = x + |x| = -2 + 2 = 0.
_________________
Re: Is x + |x| zero for all negative x ?   [#permalink] 19 Sep 2013, 23:18
Similar topics Replies Last post
Similar
Topics:
3 For all numbers x, the function f is defined by f(x) = 3x + 1 and the 1 31 Aug 2015, 12:23
|x+1| + |x+2| + | x-1|= 20 3 30 Jul 2013, 20:26
x^2=>x??? 2 24 May 2013, 14:15
Find X 2 10 May 2010, 13:32
1 If 3 x - 3 x-1 = 162 , then x(x-1)= 4 23 Apr 2008, 04:11
Display posts from previous: Sort by