Flashcards: The Real Number System

Identify the following property.

On the space \displaystyle \mathbb{R}\times \mathbb{R} where \displaystyle a\displaystyle b\ \epsilon\ \mathbb{R} only one of the following statements holds true \displaystyle a< b\displaystyle b< a, or \displaystyle a=b.

Distributive Law

Transitive Property

Existence of Multiplicative Identity

Multiplicative Property

Trichotomy Property

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