Identify the quantifier in the following statement and write the negation of the statement
(i) p : For every negative number x,x-2 is smaller than x
(ii) q : There exists a rational number whose sqaure is smaller than the number
(iii) r : For every real number , there is a position on number line

Explanation

(i) Quantifier `rarr` for every ~q there exists a negative number x such that x-2 is not smaller than x
(ii) Quantifier : There exists
~q : It is false that there exiss a rational whose square is smaller than the number
(iii) Quantifier : For every
~r : It is false that for every real number , there is a position on number line