Question

2. Which of the following
statement is not true? -
Between two integers, there exist
infinite number of rational number
Between two rational numbers, there
exist Infinite number of integers
Between two rational numbers, there
exist infinite number of rational
numbers
Between two real numbers, there
exists infinite number of real
numbers​

Answer 1

Step-by-step explanation:

Between two rational numbers, there exists Infinite number of rational numbers.

Answer 2

Answer:

Statement 2) is not true .

Step-by-step explanation:

Solution :-

Statement 1 ) Between two integers , there exist infinite number of rational numbers :- this statement is true .

e.g. two integers are :- 1 and 2 , there exist infinite rational numbers .

Statement 2) Between two rational no. , there exist infinite number of integers :- this statement is false ,

between , two rational there does not exist infinite number of integers .

Statement 3) Between two rational number there exist infinite no. of rational number :- this statement is true

Statement 4) Between two real numbers , there exist infinite number of real numbers :- this statement is true .

Therefore , statement 2) is false .

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