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

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

Filo · Accepted Answer

(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 capital

Question Text	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
Answer Type	Text solution:1
Upvotes	150

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

Text solutionVerified

Practice questions from similar books

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

Text solutionVerified

Practice questions from similar books

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