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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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