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Question

Every rational number is a real number. State whether the given statement is true or false. Justify.


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Solution

The given statement is False

Justification

A set of real numbers consist of both rational and irrational numbers. Therefore, every real number cannot be an irrational number.

Real numbers is defined as the collection of numbers which have both the rational and irrational numbers as it’s component. The statement is false. We can say that every irrational numbers are real numbers.


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