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Q.

State whether the following statement is true or false.


There are infinitely many integers between any two integers.


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a

True

b

False 

answer is B.

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Detailed Solution

It is given that there are two integers.
Let us consider two consecutive integers say 14 and 15.
All consecutive integers are integers that follow each other in order and have a difference of 1 between them.
Hence, there is no integer between them.
If we consider any other two integers, say 2 and 10, there are 8 integers between them.
Hence, the given statement is false.
There may or may not be infinitely many integers between any two integers.
Therefore, the correct option is (2).
 
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