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Mathematical Statement

Write the neg...

Question

Write the negation of the following compound statement. 'There is a real number which is not a complex number'.

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Solution

Every real number is a complex number.

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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.

Q. 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

x + 1

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

Q. Write the negation of the following statements: (i) Chennai is the capital of Tamil Nadu. (ii) is not a complex number. (iii) All triangles are not equilateral triangle. (iv) The number 2 is greater than 7. (v) Every natural number is an integer.

Q. Write the negation of the following statements:
(i) p : For every positive real number x, the number (x − 1) is also positive.
(ii) q : For every real number x, either x > 1 or x < 1.
(iii) r : There exists a number x such that 0 < x < 1.

Write the negation of the following statements:

(i) Chennai is the capital of Tamil Nadu.

(ii) is not a complex number.

(iii) All triangles are not equilateral triangle.

(iv) The number 2 is greater than 7.

(v) Every natural number is an integer.

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