Could I use thhe triangle inequality to perform the following:

?

I cant seem to find a proof of why you can do this is if you can...

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- April 24th 2010, 08:57 AMsfspitfire23triangle inequality
Could I use thhe triangle inequality to perform the following:

?

I cant seem to find a proof of why you can do this is if you can... - April 24th 2010, 09:16 AMnimon
I don't think so. The triangle inequality implies that

so that

which is the opposite of what you wanted!

In fact you can show that

which is quite a nice way to remember them all. - April 24th 2010, 09:58 AMsfspitfire23
Ah, I must be able to do this then by the triangle inequality:

yes? - April 25th 2010, 01:41 AMnimon
Yep! To see why:

For practice, try also to show that

the four inequalities will come in handy for the rest of your life!