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.
(ii) The number x is a rational number.
The number x is an irrational number.
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Step-by-step explanation:
(i) The negation of the first statement is ‘the number x is a rational number’.
This is same as the second statement because if a number is not an irrational number then the number is a rational number
Hence, the given statements are negations of each other
(ii) The negation of the first statement is ‘the number x is not a rational number. This means that the number x is an irrational number which is same as the second statement.
Hence, the given statements are negations of each other
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