Question

state true or false there are infiently many rational numbers between anytwo given rational number​

Answer 1

Answer:

It is a false statement...

Answer 2

Consider a&b as rational numbers

Then a rational number n

1

can be find in between a&b such that a<n

1

<b

using the formula n

1

=

2

a+b

similarly, again we can find a rational number between a&n

1

and n

1

&b

and so on...

Hence, between any two distinct rational numbers there are infinitely many rational numbers.