1. ## Complex numbers

Hi there, Im having a little problem with a question on complex numbers.
What exactly does Y = {Re(z) < 1} mean? This is all z belonging to complex numbers btw, I just couldnt find the symbol...I know that Y represents the set, but I just dont know what that set defines
Any help would be great, thanks

2. ## Re: Complex numbers

If z=x+iy Re(z)=x so Y is set of all z with x<1

3. ## Re: Complex numbers

Originally Posted by qwerty31
What exactly does Y = {Re(z) < 1} mean?
It should probably say Y = {z | Re(z) < 1}.

4. ## Re: Complex numbers

So does that mean the modulus is less than 1?

5. ## Re: Complex numbers

No, modulus of z= sqrt(x^2+y^2)

6. ## Re: Complex numbers

Originally Posted by emakarov
It should probably say Y = {z | Re(z) < 1}.

I think you'll find that should actually be a dotted vertical line, not a solid vertical line...