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# What is the minimum value of |x-3|+|x+3|?

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Manager
Joined: 11 Dec 2013
Posts: 120
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
What is the minimum value of |x-3|+|x+3|?  [#permalink]

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Updated on: 19 Feb 2019, 23:48
1
3
00:00

Difficulty:

35% (medium)

Question Stats:

60% (01:12) correct 40% (01:23) wrong based on 164 sessions

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What is the minimum value of $$|x-3|+|x+3|$$?

A) 0
B) 3
C) 6
D) 8
E) 12

Source : Ignus

Originally posted by 4d on 19 Feb 2019, 23:45.
Last edited by Bunuel on 19 Feb 2019, 23:48, edited 1 time in total.
Renamed the topic.
Senior Manager
Joined: 15 Feb 2018
Posts: 406
Re: What is the minimum value of |x-3|+|x+3|?  [#permalink]

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20 Feb 2019, 19:32
Whatever x does to +3, it will do the opposite to -3.
The simplest substitution is to make x=0
|-3|+|3|=3+3=6

Try with 1 and -1 to feel confident
|-1-3|+|-1+3|=4+2=6
|1-3|+|1+3|=2+4=6
Manager
Joined: 13 Oct 2018
Posts: 85
Location: India
GPA: 3.1
WE: Information Technology (Computer Software)
Re: What is the minimum value of |x-3|+|x+3|?  [#permalink]

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20 Feb 2019, 19:57
1
by putting x= 0 gives us sum 6

rest all are greater than 6

hence option C

Posted from my mobile device
Intern
Joined: 19 Jan 2019
Posts: 10
Re: What is the minimum value of |x-3|+|x+3|?  [#permalink]

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30 Oct 2019, 01:14
why is it not 3 ? i really dont understand this can someone please explain me this
Intern
Joined: 02 Nov 2019
Posts: 6
What is the minimum value of |x-3|+|x+3|?  [#permalink]

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04 Nov 2019, 15:51
1
Pooja132 wrote:
why is it not 3 ? i really dont understand this can someone please explain me this

Sorry, this is my first attempt in explaining a GMAT question. Hope it's easy to understand.

You get the minimum value by substituting x with 0.

So if x=0
then |0−3|+|0+3|
which results in |-3|+|3|
3+3=6
_________________
Feel free to give feedback on my explanations, I'm still learning
What is the minimum value of |x-3|+|x+3|?   [#permalink] 04 Nov 2019, 15:51
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