Thread: Last One I Promise: complex numbers again

Yay! I did it!

This is my last post... for tonight

e = belongs to

Let z,w e C be such that z = a + bi and w = c + di, with a, b, c, d e R.
Define z < w <=> { a < c or a = c but b < d

Prove that < defined above is an order on the set C (this type of order is called a dictionary/lexicographic order).

So... I don't even understand the problem even... I don't get what I'm trying to prove really or how I would even start. Any help would be lovely

Thanks in advanced!!

Now to go stare at my problems and hope some magic happens in this brains of mine...

- Nicole