Identify the quantifier in the following statements and write the negation of the statements.
'For every real number x, x is less than x+1.'

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Solution

The quantifier in the given statement is 'For every'.
The negation of the given statement is
'For every real number x, such that x is not less than x+1'.

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Similar questions

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.

(iii) There exists a capital for every state in India.

x, x

x + 1

The quantifier used in the statement “For every real number x, x is less than x + 5” is:

Write the negation of the following statements :

(i) p : For every positive real number x, the number x - 1 is also positive.

(ii) q : All cats scratch.

(iii) r : For every real number x, either x > 1 or x < 1.

(iv) s : There exists a number x such that 0 < x < 1.

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