1.

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»

(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.



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