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

1) Quantifier: "There exists. Negation : There does not exist a number which is equal to its square
ii) Quantifier: "For every" There exists a real number, .x. such that .x. is not less than .x+1.
iii) Qantifier: "There exists" Negation: There exists a state in India which does. not have a nnital.