Maths · Sets and their representation

There exists ........ number of rational numbers between and

There exists ........ number of rational numbers between \( \frac{2}{5} \) and \( \frac{4}{5} \)

  • A. 0
  • B. 1
  • C. 5
  • D. infinite

Step-by-step solution

Between any two distinct rational numbers, there exist infinitely many rational numbers. For example, the average of the two numbers is a rational number between them, and this process can be repeated indefinitely.
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