Using the triangle inequality show and are in with , then open intervals centered at and centered at b, both with radius

so far all I have is

now I'm not sure if what I'm doing is right:

?

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- September 30th 2008, 10:25 PMlllllinequality proof
Using the triangle inequality show and are in with , then open intervals centered at and centered at b, both with radius

so far all I have is

now I'm not sure if what I'm doing is right:

? - October 1st 2008, 12:09 AMCaptainBlack
- October 4th 2008, 12:03 AMlllll
I completely overlooked that part of the question. But I did found a prove for this statement but am still lost as to how it was done, even after asking my prof.

This is what I found:

suppose is in

which is apparently a contradiction.

If anyone could clarify this, it would help me out a lot. - October 4th 2008, 12:08 AMCaptainBlack
- October 4th 2008, 04:22 PMlllll