Shading in Argand diagrams involving inequalities

[Faiq]

Homework Statement

What is difference in shading between Argand diagrams containing inequalities with > and ≥ signs?
Example
Shade the appropriate region to satisfy the inequality
|z|> 5
|z|≥ 5

The Attempt at a Solution

I am aware of the fact that both will have circle centered at origin with radius 5. But how will the shading differ in both inequalities?

 

[robphy]

For simplicity, think of a number line.
With a strict inequality, the boundary may not be included.

 

[SammyS]

Homework Statement

What is difference in shading between Argand diagrams containing inequalities with > and ≥ signs?
Example
Shade the appropriate region to satisfy the inequality
|z|> 5
|z|≥ 5

The Attempt at a Solution

I am aware of the fact that both will have circle centered at origin with radius 5. But how will the shading differ in both inequalities?

For your example:

In the ##\ | z | >5\ ## case, the boundary is not included in the region.

In the ##\ | z | \ge 5\ ## case, the boundary is included in the region.

This distinction is often indicated on any two-dimensional display by using a dashed or dotted line for any boundary element which is not included in the set and a solid line for any boundary element which is included in the set.