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2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.
The set of negative integers
Irrational numbers.
The set of numbers that consists of the positive numbers, the negative numbers, and zero are integers. There are no fractions in integers.
mixed numbers