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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Solution

The contradiction of a statement is called the negation of a statement.

(i)

The given statement is: Chennai is the capital of Tamil Nadu. The negation of the given statement is: Chennai is not the capital of Tamil Nadu.

(ii)

The given statement is: 2 is not a complex number. The negation of the given statement is 2 is a complex number.

(iii)

The given statement is: All triangles are not equilateral triangle. The negation of the given statement is: All triangles are equilateral triangles.

(iv)

The given statement is: The number 2 is greater than 7. The negation of the given statement is: The number 2 is not greater than 7.

(v)

The given statement is: Every natural number is an integer. The negation of the given statement is: Every natural number is not an integer.

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Similar questions

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.

Write the negation of the following statements:

(i) Chennai is the capital of Tamil Nadu.

(ii) $\sqrt{2}$ is not a complex number.

(iii) All triangles are not equilateral triangles.

(iv) The number 2 is greater than 7.

(v) Every natural number is an integer.

\sqrt{2}

2

7

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

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