So I have to prove this is true for all complex numbers:
| |a| - |b| | <= | a + b |
As a hint it says to use the triangle equality which is |a+b| <= |a| + |b|
I dno where to go from here though ....
Triangle inequality thing Watch
- Thread Starter
- 24-01-2010 22:29
Offline14ReputationRep:Wiki Support Team
- Wiki Support Team
- 25-01-2010 02:57
The triangle inequality is |x+y| <= |x| + |y|. Let x = a+b, y = -b to partly prove it...