Question

Are the following pairs of statements are a negation 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 not a rational number.
The number x is an irrational number.

Answer 1

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

“The number x is an irrational number.”

Since, the statement “The number x is not a rational number.” Is a negation of the first statement.

(ii) The number x is not a rational number.

“The number x is an irrational number.”

Since, the statement “The number x is a rational number.” Is not a negation of the first statement.