Complex Plane Points with Re(z)≤0 and |z|=3

[Physicsissuef]

Ok, thanks. And can you please tell me about this two pictures. http://i31.tinypic.com/18d3py.jpg" I will be very happy if you can confirm me. Thank you once again...

 

[HallsofIvy]

Ok. Thanks. And for |z| \leq 4, is it like http://i31.tinypic.com/511rno.jpg"

Yes, |z|\le 4, in the complex plane, refers to those points, (x,y), whose distance from (0,0) is less than or equal to 4. That consists of the circle with center at (0,0) and radius 4 as well as its interior.

 

[Physicsissuef]

Yes, but can you confirm me about the pictures in the above post, they're not same. Thanks.

 

[dx]

Ok, thanks. And can you please tell me about this two pictures. http://i31.tinypic.com/18d3py.jpg" I will be very happy if you can confirm me. Thank you once again...

Yes they're correct.

 

[Physicsissuef]

They are all correct? What about i) 0 < |z| \leq 3? How will I make the disk without zero?

 

[Nick89]

Usually you put a circle (like an 'o') on the point, instead of a dot.

For example, this could be the line y = 2x + 1, x \neq 3:

|    /
|   / 
|  o
| /
|/
|_________

 

[Physicsissuef]

Ok, thank you, and my other tasks are correct? (I mean, with stuff like shadowing and circles like in this case) Is it correct with the angles?

 

[Nick89]

Yes. Don't worry about these things (how to draw it) too much, as long as it's clear what you mean. If your teacher understands what you mean he will most probably accept it, even if the way you have drawn it is maybe not 100% 'conventional'... (I don't even know if there is any convention for things like this... But it's pretty obvious how you've drawn it, so I think you're going to be ok.)

 

[Physicsissuef]

Ok. Thank you.