# Real and Imaginary Numbers Confusion!<br> Are set of real numbers and set of imaginary numbers overlapping?<br> I think that they are overlapping because 0 is both real and imaginary.

## If I am right then in the image below, I think imaginary numbers should be overlapping with real numbers. Everywhere on the internet, venn diagram of real and imaginary number is disjoint not overlapping. Why?

An imaginary number is a complex number of the form $a + b i$ with $b \ne 0$
A purely imaginary number is a complex number $a + b i$ with $a = 0$ and $b \ne 0$.
Consequently, $0$ is not imaginary.