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.

Asked by Pragya Singh | 11 months ago |  63

Solution :-

(i) The negation of the first statement is ‘the number x is a rational number’. This is because if the number is not an irrational number, then it is a rational number. This is same as the second statement

(ii) The negation of the first statement is ‘the number x is not a rational number’. This means that the number is an irrational number which is same as the second statement. Therefore, the given statements are negations of each other.

Answered by Abhisek | 11 months ago

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