Final answer:
The correct structure for the improperly named 1,3-dimethyl-4-hexene is a six-carbon chain with a double bond at the first carbon and methyl groups at the first and third carbons, which is properly named 3,4-dimethyl-1-hexene.
Step-by-step explanation:
The compound named 1,3-dimethyl-4-hexene is incorrectly named because hexene cannot have a double bond starting at the fourth carbon if there are also methyl groups at the first and third carbons. To correct it, we should start by drawing a six-carbon chain, which serves as the parent structure for hexene. The double bond must occur earlier in the chain to accommodate the methyl groups at the 1 and 3 positions, thus the correct name is 3,4-dimethyl-1-hexene.
Draw a six-carbon chain.
Place a double bond at the first carbon atom of the chain to satisfy the 'ene' suffix indicating the presence of a double bond.
Add methyl groups to the first and third carbon atoms.