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Question -

Are the following pairs of statements are a negation of each other:
(i) The number x is not a rational number.
The number x is not an irrational number.
(ii) The number x is not a rational number.
The number x is an irrational number.



Answer -

(i) The number x is not a rational number.
“The number x is an irrational number.”
Since, the statement “The number x is not a rational number.” Is a negation of the first statement.
(ii) The number x is not a rational number.
“The number x is an irrational number.”
Since, the statement “The number x is a rational number.” Is not a negation of the first statement.

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