Which of the following are True about Real Numbers \mathbb{R} ?

Question

Which of the following are True about Real Numbers   \mathbb{R} ?

Accepted Answer

\exists a,b,c \in \mathbb{R}; a+(b\cdot c)=(a+b)\cdot (a+c)

Accepted Answer

\forall a \in \mathbb{R} \exists b \in \mathbb{R}; a>b

Accepted Answer

\exists a \in \mathbb{R} \exists b \in \mathbb{R}; a>b

Accepted Answer

\forall a\in \mathbb{R}-\{0\}; a>0\Leftrightarrow a^{-1}>0

Accepted Answer

\forall a,b,c \in \mathbb{R}; a\cdot (b+c)=(a\cdot b)+(a \cdot c)

Answer

\exists b \in \mathbb{R} \forall a \in \mathbb{R}; a>b

Answer

\forall a \in \mathbb{R} \forall b \in \mathbb{R}; a>b

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