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.

Explanation

(i) The quantifier is "There exists"
The negation of this statement is as follows

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

(ii) The quantifier is "For every"
The negation of this statement is as follows

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

(iii) The quantifier is "There exists"
The negation of this statement is as follows

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