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.