To determine the IUPAC name of the compound, follow these steps:$\\$1. Identify the longest carbon chain containing the highest priority functional group.$\\$ - The longest chain contains 6 carbon atoms, making it a hexane derivative.$\\$2. Identify and number the substituents to give the lowest possible numbers to the functional groups.$\\$ - The functional groups are:$\\$ • Hydroxyl group (OH) at carbon 3.$\\$ • Chloro group (Cl) at carbon 2.$\\$ • Bromo group (Br) at carbon 1.$\\$ • Methyl group (CH$_3$) at carbon 4.$\\$3. Assign numbers to the substituents based on their positions:$\\$ - 1-bromo, 2-chloro, 4-methyl, 3-ol (hydroxyl group has priority).$\\$4. Construct the IUPAC name by arranging the substituents alphabetically:$\\$ - 1-bromo-2-chloro-4-methylhexan-3-ol$\\$Therefore, the correct IUPAC name of the compound is:$\\$1-bromo-2-chloro-4-methylhexan-3-ol.$\\$This corresponds to Option 1.