Numbers are used to count and show measurement. There are infinite real numbers between 1 and 4 & there are 2 integers between 1 and 4.
Given
[tex]Min = 1[/tex]
[tex]Max =4[/tex]
The question can be interpreted in the following ways.
Interpretation 1: The number of integers/whole numbers/natural numbers between 1 and 4.
The category of numbers above do not have decimal points.
So: the solution to this interpretation is that there are 2 numbers between 1 and 4 and the numbers are 2 and 3.
Interpretation 2: The number of real numbers between 1 and 4.
The range of numbers between 1 and 4 is represented as:
[tex]Range = [1,4][/tex]
If the range is expanded, the numbers will be:
[tex]Numbers = \{1,1.000001,1.0000000000001,.....\}[/tex]
This means that there can be as many numbers as possible between the interval.
Hence, the real numbers between 1 and 4 can not be counted i.e. infinity
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