Question

2.
There are inifinite no. of rational numbers between two rational numbers
as
property
​

Answer 1

Answer:

You noticed that, between any two rational numbers, there is a third.

Now, pick any two rational numbers x<y, and assume that there are a finite number of (say, only n) rational numbers between them. Call these numbers a0<a1<⋯<an−1. Now, look between x and a0. We know there is some rational number, call it z between x and a0, which then must also be between x and y. But this cannot be true, because z is less than a0, so cannot equal any of the ai, which were assumed to be every rational between x and y.

Hope it helps..