Complex numbers include real numbers, pure imaginary numbers, and the combination of those two.
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Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
Real numbers are a proper subset of Complex numbers.
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
Complex numbers are numbers of the form (x + yi) where x and y are real numbers and i is the imaginary square root of -1. Any collection of such numbers is a set of complex numbers.