Set of whole numbers does not satisfy all requirements, also it does not include negative numbers. To overcome this disadvantage, a set of integers is constituted that also represent negative integers over the set of whole numbers.
This set is definitely superior to natural and whole numbers in the sense that it caters to a larger audience as compared to the other number system dealt so far.  A set of integers is denoted by "I" and represented as

I = { …. -4, -3, -2, -1, 0, 1, 2, 3, 4…. }


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