# Set of Real Numbers

## Set of Real Numbers

Set of numbers whose decimal notation is an infinite decimal sequence that may or may not be periodic.

### Symbol

The set of rational numbers is denoted by the symbol $$\mathbb{R}$$.

• The set of positive real numbers : $$\mathbb{R}$$$$_{+}$$ = {x ∈ $$\mathbb{R}$$ | x ≥ 0}
• The set of negative real numbers : $$\mathbb{R}$$$$_{–}$$ = {x ∈ $$\mathbb{R}$$ | x ≤ 0}
• The set of strictly positive real numbers : $$\mathbb{R}$$$$_{+}^{*}$$ = {x ∈ $$\mathbb{R}$$ | x > 0}
• The set of strictly negative real numbers : $$\mathbb{R}$$$$_{–}^{*}$$ = {x ∈ $$\mathbb{R}$$ | x < 0}

All whole numbers, integers, decimals and rational numbers are real numbers.