Step 1: Identify the principal functional group.
The compound contains:
\[
-Br,\ -OH,\ -CN
\]
Among these,
\[
-CN
\]
has the highest priority according to IUPAC nomenclature.
Therefore, the parent compound is
benzonitrile
The carbon attached to
\[
-CN
\]
is numbered as carbon \(1\).
Step 2: Number the substituents.
From the structure:
\[
-Br
\]
is attached to carbon \(2\).
\[
-OH
\]
is attached to carbon \(3\).
Thus, the substituents are:
\[
2-\text{Bromo}
\]
and
\[
3-\text{Hydroxy}
\]
Step 3: Arrange substituents alphabetically.
Substituents are written in alphabetical order:
Bromo before Hydroxy
Hence, the IUPAC name becomes:
\[
2-\text{Bromo}-3-\text{hydroxybenzonitrile}
\]
Step 4: Final conclusion.
Therefore, the correct IUPAC name is
\[
\boxed{2\text{-Bromo-3-hydroxybenzonitrile}}
\]