If |z − 3| ≤ 1, then |z + 4i| ≤ 6. (Hint: try adding 0 - -3 +3 inside the expression; this is a common trick.) If |z −

Post by **answerhappygod** » Thu Jun 30, 2022 7:34 pm

: If Z 3 1 Then Z 4i 6 Hint Try Adding 0 3 3 Inside The Expression This Is A Common Trick If Z 1 (22.52 KiB) Viewed 44 times

prove statements
If |z − 3| ≤ 1, then |z + 4i| ≤ 6. (Hint: try adding 0 - -3 +3 inside the expression; this is a common trick.)

If |z − 1| ≤ 1, then |1 / (z − 4)| ≤ 1/2.