If |z+4|3, then the maximum value of |z+1| is

Question

If $|z+4|\le3$, then the maximum value of $|z+1|$ is

Accepted Answer

$z$ lies on or inside the circle with center $(-4,0)$ and radius $3$ units.

From the Argand diagram maximum value of $$\left| {z + 1} \right|$$ is $6$

Solutions · 1