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Question

Write the negation of the following statement :
The number $$-5$$ is a rational number.

Solution
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The number $$-5$$ is not a rational number.

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Similar Questions
Q1

Write the negation of each of the following statements in two different ways.

(i) Africa is a continent.

(ii) 5 is rational.

(iii) All integers are rational numbers.

(iv) Some prime numbers are odd numbers.

(v) Everyone in Germany speaks German.

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Q2
Are the following pairs of statements are negation of each other
(i)The number x is not a rational number.
The number x is not an irrational number.
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Q3
Are the following pairs of statements are negation of each other:
(i) The number x is not a rational number.
The number x is not an irrational number.
(ii) The number x is not a rational number.
The number x is an irrational number.
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Q4
1) Write down the negation of the following compound statement.

i) All rational numbers are real and complex.

2) Write down the negation of the following compound statement.

ii) All real numbers are rationals or irrational.

3) Write down the negation of the following compound statement.

iii) x = 2 and x = 3 are roots of the Quadratic equation x25x + 6 = 0

4) Write down the negation of the following compound statement.

iv) A triangle has either 3-sides or 4-sides

5) Write down the negation of the following compound statement.

v) 35 is a prime number or a composite number.

6) Write down the negation of the following compound statement.

vi) All prime integers are either even or odd.

7) Write down the negation of the following compound statement.

vii) |x| is equal to either x or x.

8) Write down the negation of the following compound statement.

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Q5

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

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