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Identify the Quantifiers in the following statements. (i) For all real numbers $x$ with $x > 3$, $x 2$ is greater than 9. (ii) There exists a triangle which is not an isosceles triangle.
Identify the Quantifiers in the following statements.
(i) For all real numbers $x$ with $x > 3$, $x 2$ is greater than 9.
(ii) There exists a triangle which is not an isosceles triangle.
CBSE | Class 11 | Mathematical Reasoning | Maths | NCERT Exemplar
Identify the Quantifiers in the following statements.
(i) For all real numbers $x$ with $x > 3$, $x 2$ is greater than 9.
(ii) There exists a triangle which is not an isosceles triangle.

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 “For all real numbers x with x > 3, x2 is greater than 9.”

As a result, ‘For all’ 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 “There exists a triangle which is not an isosceles triangle.”

As a result, ‘There exist’ is quantifier.

i

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