Question

There are infinitely many integers between any two integers.true or false?

Answer 1

This statement is FALSE. Between any two integers there are a - b - 1 integers where a and b are integers and a>b.

Answer 2

Answer:

There are infinitely many integers between any two integer (false)

Step-by-step explanation:

Integers:

" The set containing the positive 1,2,3,4,... and

the negative numbers -1,-2,-3,-4 ,... together with zero is called the set of Integers.

We denote the set of Integers by ' Z' (Or) ' I '

Z = { ....,-4,-3,-2,-1,0,1,2,3,......}

The number of integers between a and b where a<b is b - a - 1 ( Finite set )

Example :

The number of integers between -3 and 5 = 5 - (-3) -1 = 5 + 3 - 1 = 8 - 1 = 7 ( Finite set )

Therefore,

Given statement is False.

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