Waste less time on Facebook — follow Brilliant.

complex inequalities

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 ?!!

Note by Peace Trap
3 years, 2 months ago

No vote yet
1 vote


Sort by:

Top Newest

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

That's not possible

:) Kïñshük Sïñgh · 3 years, 2 months ago

Log in to reply

\(\sqrt{-1}\) 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. Guilherme Dela Corte · 3 years, 2 months ago

Log in to reply

will, but in simple other words is 5i>4i or 5i<4i or that's impossible ! Peace Trap · 3 years, 2 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...