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Q.

State whether the following statement is true or false.
Every real number is an irrational number.

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a

True

b

False

answer is B.

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Detailed Solution

Natural numbers are numbers used for counting and ordering.
N ={1,2,3,4…..} counting numbers are natural numbers.
All the real numbers that are not rational numbers are said to be irrational numbers.
It cannot be expressed as the ratio of two numbers.
It cannot be expressed in the form of fraction

p q

, where p and q are integers and the denominator q is not equal to zero.
Rational numbers is a number that can be expressed as the quotient or fraction

p q

of two integers, where numerator is p and q is a non-zero denominator.
Hence, every real number is not an irrational number.
Therefore, the given statement is false and option 2 is correct.

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State whether the following statement is true or false. Every real number is an irrational number.