# Shading in Argand diagrams involving inequalities

## 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?

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robphy
Homework Helper
Gold Member
For simplicity, think of a number line.
With a strict inequality, the boundary may not be included.

SammyS
Staff Emeritus
Homework Helper
Gold Member

## 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?
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.