If a number is pure imaginary then it has no real component. If
it is a real number, then there is no imaginary component. If it
has both real and imaginary components, then it is a complex
number.
If a number is pure imaginary then it has no real component. If
it is a real number, then there is no imaginary component. If it
has both real and imaginary components, then it is a complex
number.
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Some are real and some are imaginary
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No, they are imaginary (unreal).
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Imaginary numbers are not a subset of the real numbers; imaginary means not real.