Math Is Fun Forum

purpeil

Guest

complex number problem

for any complex number z prove that - I z I < or equal to Re (z) < or equal to  I z I

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: complex number problem

I'm assuming u mean abs(z) by IzI in which case z=a+bi.Re(z)=a and abs(z)=square root of a^2+b^2
now,a^2<a^2+b^2 [equal in case of b=0] taking positive square root |a|<abs(z),by the inequality law of absoloute value,-abs(z)<a<abs(z)

Last edited by {7/3} (2013-06-28 05:10:21)

---

There are 10 kinds of people in the world,people who understand binary and people who don't.