# 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.

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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?

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?

##### 1 Answer

Aug 29, 2017

No

#### Explanation:

An imaginary number is a complex number of the form

A purely imaginary number is a complex number

Consequently,