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You said between, that means not including either 27 or 42. So 'between' 27 and 29, there is one integer(28). 29-27 = 2, which is one more than the # of integers between. So subtract (42-27) and that will be one more than the integers between.
They are consecutive odd integers: 25 and 27.
The set of integers between -27 and 27 includes all whole numbers from -26 to 26, as it does not include the endpoints -27 and 27 themselves. This results in the set: {-26, -25, -24, ..., -2, -1, 0, 1, 2, ..., 24, 25, 26}. There are a total of 53 integers in this set.
26 and 27
There is no reason to give, because that's not a true statement. Examples: There is no integer between 4 and 5, or between 27 and 28, or between 792 and 793.