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Q. 84.0( 3 Votes )

Identify the quantifier in the following statements and write the negation of the statements.

(i) There exists a number which is equal to its square.

(ii) For every real number x, x is less than x + 1.

(iii) There exists a capital for every state in India.

Answer :

(i) Quantifier is "There exists".

Negation of statement is

There does not exist a number which is equal to its square.

(ii) Quantifier is "For Every".

Negation of statement is

There exist a real number x such that x is not less than x + 1.

(iii) Quantifier is "There exists".

Negation of statement is

There does not exist a capital for every state in India.

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