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# If |p−6|+p=6, which of the following must be true?

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Intern
Joined: 25 Jan 2014
Posts: 16
Concentration: Technology, General Management
Re: If |p−6|+p=6, which of the following must be true? [#permalink]

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16 Jun 2015, 07:44
Bunuel wrote:
arshu27 wrote:
Hi Bunuel,

if we substitute p=0 then the answer must be 6. There can be no other answer right?

Not sure I understand what you mean...

p = 0, as well as any other value of p less than or equal 6 satisfies |p − 6| + p = 6.

thanks Bunuel..i have got it now... i wasn't seeing it the right way!!
SVP
Joined: 08 Jul 2010
Posts: 2114
Location: India
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WE: Education (Education)
Re: If |p−6|+p=6, which of the following must be true? [#permalink]

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16 Jun 2015, 08:58
arshu27 wrote:
Hi Bunuel,

if we substitute p=0 then the answer must be 6. There can be no other answer right?

You are wrong here Ashu,

There can be infinite many answers for this equation and the answer will fall in the range 0<p<6

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Re: If |p−6|+p=6, which of the following must be true? [#permalink]

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16 Sep 2017, 16:28
It's simple property of Absolute Value: if $$|x| = y$$, then $$y>= 0$$;

Here the given equation can be rearranged as, $$|p-6| = 6-p$$
which implies, $$6-p >=0$$
or $$p<=6$$. Hence E.

I hope this clarifies some doubts.
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Re: If |p−6|+p=6, which of the following must be true?   [#permalink] 16 Sep 2017, 16:28

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