Question

# 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

Solution

## (i) The quantifier is "There exists"The negation of this statement is as followsThere does not exist a number which is equal to its square(ii) The quantifier is "For every"The negation of this statement is as followsThere exist a real number $$x$$ such that $$x$$ is not less than $$x + 1$$(iii) The quantifier is "There exists"The negation of this statement is as followsThere exists a state in India which does not have a capitalMathematicsNCERTStandard XI

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