If `z` is any complex number such that `|z+4|lt=3,` then find the greatest value of `|z+1|dot`

Explanation

To solve the problem, we start with the given condition for the complex number \( z \):

1. **Given Condition**:
\[ |z + 4| \leq 3 \]

This means that the complex number \( z + 4 \) lies within or on the boundary of a circle centered at \(-4\) (on the real axis) with a radius of \(3\).
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