Answer
The IUPAC name of the compound is $2-bromo-3-methylbutanoic \hspace1mm acid$. The common name of the compound is $α-bromo-β-methylbutyric \hspace1mm acid$.
Work Step by Step
The acid has 4 carbon atoms in its longest carbon chain containing the carboxylic functional group. It has a $bromo$ substituent at position 2, and a $methyl$ substituent at position 3. So, the IUPAC name of the compound is $2-bromo-3-methylbutanoic \hspace1mm acid$. The common name of the compound is $α-bromo-β-methylbutyric \hspace1mm acid$.