A set is a collection of objects and a set of numbers is a collection of numbers:
$
n \in \\\{ 1, 3, 5, 7 \\\}
$
It is conventional to use certain letters to represent infinite sets of numbers.
The following expressions involving sets of numbers are all true:
- natural numbers: $0 \notin \mathbb{N}$
- natural numbers including zero: $0 \in \mathbb{N_0}$
- integer numbers: $-1 \in \mathbb{Z}$
- rational numbers: $\frac{1}{3} \in \mathbb{Q}$
- real numbers: $\pi \in \mathbb{R}$
- complex complex: $1+j \in \mathbb{C}$
The real numbers ($\mathbb{R}$) can be represented in the form of intervals:
- closed range: $-1 \in [-1,1]$
- open range: $-1 \notin ]-1.1]$