2.(i)    Are the following pairs of statements negations of each other:

 (i) The number x is not a rational number.
      The number x is not an irrational number.

Answers (1)

p: The number x is not a rational number.
r:  The number x is not an irrational number.

The negation of p is: The number x is a rational number, which is the same as statement r.

The negation of r is: The number x is an irrational number, which is the same as statement p.

Hence the pairs of statements are negations of each other.

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