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Insertion of rational numbers between tw...

Insertion of rational numbers between two given rational numbers

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Consider the following statements : 1. There is a finite a number of rational numbers between any two rational numbers. 2. There is an infinite number of rational numbers between any two rational numbers. 3. There is a finite number of irrational numbers between any two rational numbers. Which of the above statements is/are correct?

Assertion : Rational number lying between two rational numbers a and b is a+b//2 . Reason : There is one rational number lying between any two rational numbers .

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