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Identify the Quantifiers in the following statements. (i) There exists a triangle which is not equilateral. (ii) For all real numbers $x$ and $y$, $xy = y x$.
Identify the Quantifiers in the following statements.
(i) There exists a triangle which is not equilateral.
(ii) For all real numbers $x$ and $y$, $xy = y x$.
CBSE | Class 11 | Mathematical Reasoning | Maths | NCERT Exemplar
Identify the Quantifiers in the following statements.
(i) There exists a triangle which is not equilateral.
(ii) For all real numbers $x$ and $y$, $xy = y x$.

Solution:

(i)The quantifiers refers to a phrase like ‘there exist’, ’for all’ and ‘for every’ etc. and these are used to make the prepositional statement.

In the statement given “There exists a triangle which is not equilateral”

As a result, “There exist” is quantifier.

(ii) The quantifiers refers to a phrase like ‘there exist’, ’for all’ and ‘for every’ etc. and these are used to make the prepositional statement.

In the statement given “For all real numbers $x$ and $y$, $xy = yx$.”

As a result, ‘For all’ is quantifier.

i

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