Question

In between any two numbers, there are: a. Only one rational number b. Two rational numbers c. Infinite rational numbers d. No rational number

Option 1

Option 2

Option 3

Option 4

6. 4.) Every rational ​

Answer 1

Answer:

c. Infinite rational numbers.

Step-by-step explanation:

For any 2 numbers a and b such that a<b, we have:

$a < \frac{a + b}{2} < b$

If you keep repeating this process setting the value of b = a+b/2, every number obtained will be between a and b.

Thus, There are infinitely many rational numbers between any 2 numbers.