Question

All real numbers are irrational. State whether the given statement are true or false. Justify your answers.

Answer 1

The above statement is true.

Real numbers is a collection of all rational and irrational numbers in a group.

Hence, All irrational numbers are a part of real numbers which tells all irrational numbers are real numbers.

But all real numbers are not irrational numbers as they consist of both rational and irrational numbers.

Answer 2

Given statement ,

" All real numbers are irrational "

is False .

Since , Union of rational and

irrational Numbers is called

Rational numbers.

Example :

2/7 is a real number but not

an irrational number.

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