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...

Printable View

- Apr 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... - Apr 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. - Apr 24th 2010, 09:58 AMsfspitfire23
Ah, I must be able to do this then by the triangle inequality:

yes? - Apr 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!