I have to determine if the following statement is true or false:
$\mathbb{R} \setminus\mathbb{Q} \subset \mathbb{Z}$, where $\mathbb{R},\mathbb{Q}$ and $\mathbb{Z}$ are the Real numbers, Rational numbers, and integers respectively.
I got stuck. Your suggestions on how to proceed will be greatly appreciated.
This is as much as I got.
[![enter image description here](https://i.stack.imgur.com/2a8bb.png)](https://i.stack.imgur.com/2a8bb.png)