If |z-4|<|z-2| then find its solution ?

1 Answer
Mar 25, 2018

x > 3

Explanation:

Assuming z = x + i y we have

sqrt((x-4)^2+y^2) < sqrt((x-2)^2+y^2) and squaring

(x-4)^2+y^2 < (x-2)^2+y^2 or

-8x+16 < -4x + 4 rArr x > 3