$\begin{array}{1 1} yes \\ no \end{array} $

- The negation of a statement is denial of the statement.

The given statements are

"The number $x$ is a rational number." and

"The number $x$ is an irrational number."

The negation of the first statement is "The number $x$ is not a rational number"

which means $x$ is an irrational number which is the $2^{nd}$ statement.

$\therefore$ The given statements are negation of each other.

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