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#1 2008-02-04 08:23:42

EMPhillips1989
Member
Registered: 2008-01-21
Posts: 40

please help

Let


and a,b,c be real numbers such that
and

show that

Last edited by EMPhillips1989 (2008-02-04 22:37:43)

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#2 2008-02-04 08:28:00

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: please help

Use the Triangle Inequality: |x+y| ≤ |x| + |y|.


Why did the vector cross the road?
It wanted to be normal.

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#3 2008-02-04 09:41:03

EMPhillips1989
Member
Registered: 2008-01-21
Posts: 40

Re: please help

When i use the triangle inequality i seem to get

when i surely want it to be 
for
to be truecan you see where i've gone wrong????

Last edited by EMPhillips1989 (2008-02-04 22:38:03)

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#4 2008-02-04 11:20:53

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: please help

You seem to have the right idea with that first line (trying to incorporate b's was a good idea), but it's not quite correct.

Use the triangle inequality on (a-b)+(b-c).


Why did the vector cross the road?
It wanted to be normal.

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#5 2008-02-04 22:36:52

EMPhillips1989
Member
Registered: 2008-01-21
Posts: 40

Re: please help

so i tried adding them together this way and i seem to get the right answer im just not sure if my method is correct
i got

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#6 2008-02-05 00:51:05

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: please help

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