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# when is absolute(x-4) equal to 4-x ?

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Manager
Joined: 08 Jul 2009
Posts: 172

Kudos [?]: 90 [0], given: 13

when is absolute(x-4) equal to 4-x ? [#permalink]

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26 Apr 2010, 05:45
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Difficulty:

(N/A)

Question Stats:

100% (00:42) correct 0% (00:00) wrong based on 1 sessions

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Can someone please share the process/method of solving an absolute equation of this sort?
Q: when is absolute(x-4) equal to 4-x ?
I realize that one can try positive/negative/fractional values and see what fits the criteria, but I am hoping for a more methodical approach that shows the underlying logic.

Kudos [?]: 90 [0], given: 13

Current Student
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Joined: 20 Jul 2009
Posts: 191

Kudos [?]: 40 [0], given: 6

Location: Africa/Europe
Schools: Kellogg; Ross (\$\$); Tuck
Re: when is absolute(x-4) equal to 4-x ? [#permalink]

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26 Apr 2010, 06:02
hello

take a look here... it will solve all your problems.
math-absolute-value-modulus-86462.html

Kudos [?]: 40 [0], given: 6

CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2757

Kudos [?]: 1909 [0], given: 235

Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
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GMAT 2: 710 Q50 V35
Re: when is absolute(x-4) equal to 4-x ? [#permalink]

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26 Apr 2010, 10:20
sher676 wrote:
Can someone please share the process/method of solving an absolute equation of this sort?
Q: when is absolute(x-4) equal to 4-x ?
I realize that one can try positive/negative/fractional values and see what fits the criteria, but I am hoping for a more methodical approach that shows the underlying logic.

|x-4| = 4-x

as |x-4| > 0 ==>|x-4| = 4-x will when 4>x
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Kudos [?]: 1909 [0], given: 235

Manager
Joined: 08 Jul 2009
Posts: 172

Kudos [?]: 90 [0], given: 13

Re: when is absolute(x-4) equal to 4-x ? [#permalink]

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27 Apr 2010, 02:22
I get (x-4)>0 because absolute(x-4) is always positive or equal to zero.

thus, (x-4) = (4-x)
which gives me x=4
Since we concluded that (x-4) must be > 0,
than shouldn't x>4 be the solution?

p.s. thanks for sharing the link on abs val equations....i found it some what helpful...altho i have to admit it did raise some new Qs in my head.

thanx guys!

Kudos [?]: 90 [0], given: 13

Re: when is absolute(x-4) equal to 4-x ?   [#permalink] 27 Apr 2010, 02:22
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