Answer
The IUPAC name of the alkyne is $(E)-3-methylhept-2-en-4-yne$
Work Step by Step
The compound has 7 carbon atoms in its longest carbon chain containing the triple bond(hept−). It has a $methyl$− substituent at position 3,, a double bond at position 2 and a triple bond at position 4. The structure is of $E$ stereoisomerism. So, the IUPAC name of the alkyne is $(E)-3-methylhept-2-en-4-yne$