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Question
Are the following pairs of statements negations of each other?
The number x is not a rational number.
The number x is not an irrational number.
Solution
The negation of the first statement is “the number x is a rational number”.
This is same as the second statement. This is because if a number is not an irrational number, then it is a rational number.
Therefore, the given statements are negations of each other.
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