Real Number is not necessarily Rational Number
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Let $x$ be a real number.
Then it is not necessarily the case that $x$ is also a rational number.
Let $x = \sqrt 2$.
- $\sqrt 2$ is an irrational number.
- $x \in \R \setminus \Q$
- $\R$ is the set of real numbers
- $\Q$ is the set of rational numbers
- $\setminus$ denotes the set difference.
Hence the result.