# Shading in Argand diagrams involving inequalities

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1. May 16, 2016

### Faiq

1. The problem statement, all variables and given/known data
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

3. 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?

2. May 16, 2016

### robphy

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

3. May 16, 2016

### SammyS

Staff Emeritus
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.