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Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
No difference. The set of complex numbers includes the set of imaginary numbers.
It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).
It can be either.
The Imaginary - Sartre - was created in 1940.