Answer
The alkyne is named $ 3,6-dimethyl-4-nonyne$.
Work Step by Step
The longest continuous carbon chain has 9 carbon atoms (non-). The triple bond is given the lowest number, it is on position 4. There are two methyl substituents,one each at positions 3 and 6. Hence, the alkyne is named $ 3,6-dimethyl-4-nonyne$.