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Home » 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.
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.
CBSE | Class 11 | Exercise 14.3 | Mathematical Reasoning | Maths | NCERT
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.

(I) Here, the quantifier is ‘there exists’.

The invalidation of this assertion is as per the following

There doesn’t exists a number which is equivalent to its square

(ii) Here, the quantifier is ‘for each’.

The nullification of this assertion is as per the following

There exist a genuine number

    \[x\]

, with the end goal that x isn’t not exactly

    \[x\text{ }+\text{ }1\]

i

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