hey, I really want an answer !
do we have inequalities in complex numbers field, or not ?
if yes, do we consider i the imaginary number as a positive or negative number ?!!

No, we don't have inequality in complex nos... Bcz if we try to work upon an inequality... We finally get to know that there is a contradiction... And what we assumed was wrong...
Ex..LET # i > i-1
# i² > i² + 1 - 2i
# 1/2 < i

\(\sqrt{-1}\) is not a real number, so we cannot apply definitions of positive and negative numbers.

Suppose \(\sqrt{-1}\) is negative or positive. Then \(\sqrt{-1}^2\) will be obviously a positive number. Turns out \(-1 > 0 \) is a false statement, thus the imaginary unit is not negative or positive.

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TopNewestNo, we don't have inequality in complex nos... Bcz if we try to work upon an inequality... We finally get to know that there is a contradiction... And what we assumed was wrong... Ex..LET # i > i-1 # i² > i² + 1 - 2i # 1/2 < i

## That's not possible

:)

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\(\sqrt{-1}\) is not a real number, so we cannot apply definitions of positive and negative numbers.

Suppose \(\sqrt{-1}\) is negative or positive. Then \(\sqrt{-1}^2\) will be obviously a positive number. Turns out \(-1 > 0 \) is a false statement, thus the imaginary unit is not negative or positive.

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will, but in simple other words is 5i>4i or 5i<4i or that's impossible !

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