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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
00:00

Difficulty:

35% (medium)

Question Stats:

56% (01:05) correct 44% (01:29) wrong based on 48 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

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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: 257
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
by putting x= 0 gives us sum 6

rest all are greater than 6

hence option C

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Ankit
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Re: What is the minimum value of |x-3|+|x+3|?   [#permalink] 20 Feb 2019, 19:57
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