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All integers are the elements of the set of integers, I, which is one of the components of the set of all real numbers, R. I = {..., - 3, -2, -1, 0, 1, 2, 3, ...}.
The set of integers.
The Natural numbers is the set of Integers greater than 0 (ie {1, 2, 3, ...})
The set of nonnegative integers is the set {0, 1, 2, 3, 4, 5, 6, ...} Each number in this set is an "example".
There are no integers between 2 and 3, not including the numbers themselves.