Question

prove that between any two distinct real numbers there exists infinite many real numbers​

Answer 1

Answer:

As the rationals are contained in the reals, and we can scale and translate the interval (and all the points in between constructed as above) arbitrarily, there are infinitely many real numbers between any two distinct given real numbers.

Step-by-step explanation:

Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of

q

p

where p and q are integers and q



=0.

Answer 2

Step-by-step explanation:

prove that between any two distinct real numbers there exists infinite many real numbers