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If $z$ is a complex number such that $|z+4| \geq 3$, then the smallest value of $|z+3|$ is
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The correct answer is:
2
$$
\begin{aligned}
& \text { }|z+4| \geq 3 \\
& |z+3+1| \leq|z+3|+1 \\
& |z+3|+1 \geq 3 \Rightarrow|z+3| \geq 2
\end{aligned}
$$
$\therefore$ Smallest value of $|z+3|=2$
\begin{aligned}
& \text { }|z+4| \geq 3 \\
& |z+3+1| \leq|z+3|+1 \\
& |z+3|+1 \geq 3 \Rightarrow|z+3| \geq 2
\end{aligned}
$$
$\therefore$ Smallest value of $|z+3|=2$
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