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If $|z+4| \leq 3$, then the maximum value of $|z+1|$ is
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2239 Upvotes
Verified Answer
The correct answer is:
$6$
$6$
From the Argand diagram maximum value of $|z+1|$ is $6$.
Alternative:
$\begin{aligned}
& |z+1|=|z+4-3| \\
& \leq|z+4|+|-3|=6.
\end{aligned}$
Alternative:
$\begin{aligned}
& |z+1|=|z+4-3| \\
& \leq|z+4|+|-3|=6.
\end{aligned}$
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