MHB Graph |z| > 3 on the Complex Plane: A Detailed Explanation

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To graph |z| > 3 on the complex plane, start by drawing a circle with a radius of 3 centered at the origin. The area of interest is the region outside this circle, indicating all points where the distance from the origin exceeds 3. This visual representation effectively illustrates the concept of the inequality. Shading the area outside the circle helps convey the idea clearly. The discussion emphasizes the importance of visualizing complex inequalities for better understanding.
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I have no idea where to post this.

How to graph |z| > 3 on the complex plane? A detailed explanation of how the graph shall look like would be very nice :D

Thanks!
 
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Hello,
|z| means length of z from origin, so the length of the circle is greater Then 3
Regards,
$$|\pi\rangle$$
 
I understand that, but I have no idea how the graph should look like. I don't know how to draw it to illustrate that the radius is greater than 3.
 
Raerin said:
I understand that, but I have no idea how the graph should look like. I don't know how to draw it to illustrate that the radius is greater than 3.
I think the simplest way to graph this is to draw the circle |z| = 3, then shade the outside of the circle. It's not perfect, but it gets the idea across.

-Dan
 
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