Identify the quantifiers in the following statements.
(i) There exists a triangle which is not equilateral.
(ii) For all real numbers x and y , xy = yx.
(iii) There exists a real number which is not a rational number .
(iv) For every natural number which x,x + 1 is also a natural number.
(v) For all real number x with `x gt 3 , x^(2)` is greater than 9.
(vi) There exist a traingle which is not an isosceles traingle.
(vii) For all negative `x,x^(3)` is also a nagative integers.
(viii) There exists a statements in above statements which is not true.
(ix) There exists an even prime number other thab 2.
(x) There exists a real number x such that `x^(2) + 1=0`

Answer

N/a

Explanation

Quantifier area the phrases like 'There exist ' and For every , 'For every' ,'For all' etc.
(i) There exists
(ii) For all
(iii) There exists
(iv) For every
(v) For all
(vi) There exists
(vii) For all
(viii) There exists
(ix) There exists
(x) There exists.