Question 54051
I DONT THINK THAT THE PROBLEM IS CORRECT.PLEASE CHECK
WE HAVE THE FORMULAE
CONSIDER Z=-2..LIMITING CASE(ACTUALLY TAKE Z=-1.9999)
THEN Z-1=-2.999
|Z-1|<3..IT SATISFIES THE GIVEN CONDITION.
NOW CHECK
|IZ+3-5I|=|-2.999I+3-5I|=|3-7.999I|=SQRT(73)>8...SO PLEASE CHECK