Is the set of imaginary numbers in the set of complex answers?

Question: This is like how the set of natural numbers is in the set of whole numbers and integers and rational numbers and so on...

Answer: If your question is: Is the set of imaginary numbers in the set of complex numbers? The answer is yes. Mathematically speaking, if A = {All Imaginary Numbers}; and B = {All Complex Numbers}, then A is a subset of B. The reason being that all complex numbers comprise of imaginary numbers. Another way to think about this is that the general form of a complex number is: (a + bi); where a and b are real numbers, and 'i' is imaginary, so all complex numbers have imaginary components; the converse is not true. This is why imaginary numbers are subsets (are in the sets) of complex numbers.

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