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# Are the pair of statements "The number $x$ is not a rational number." and "The number $x$ is not an irrational number." negation of each other?

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

Toolbox:
• Negation of a statement is denial of the statement.
The given statements are
"The number $x$ is not a rational number." and
"The number $x$ is not an irrational number."
The negation of the first statement is "The number $x$ is a rational number."
The second statement is $x$ is not a irrational number. That means
$x$ is a rational number which is same as the negation of $1^{st}$ statement.
$\therefore$ The given two statements are negation of each other.