When is it possible to find a rational number between two given rational numbers?(1 point)

Question

Responses

It is always possible to find a rational number between any two rational numbers.
It is always possible to find a rational number between any two rational numbers.

It is possible only when the two given numbers are positive.
It is possible only when the two given numbers are positive.

It is possible only when the difference between the two given numbers is at least 0.00001.
It is possible only when the difference between the two given numbers is at least 0.00001.

It is possible only when the two given numbers are integers.
It is possible only when the two given numbers are integers.

Answer 1

The correct response is:

It is always possible to find a rational number between any two rational numbers.

This is true for any two rational numbers, regardless of whether they are positive, negative, integers, or the difference between them. For any two distinct rational numbers $a$ and $b$, one can find a rational number $\frac{a+b}{2}$ (the average) that lies between them.