The correct IUPAC name of the compound
`{:(" "CH_(3)),(" |"),(CH_(3)-CH_(2)-C=CH-CH-CH_(2)-CH_(3)),(" |"),("CH_(3)-CH_(2)-CH-CH_(2)-CH_(2)-CH_(2)-CH_(3)):}` is

Options

A. 5,6-Diethyl-8-methyldec-6-ene
B. 5,6-Diethyl-3-methyldec-4-ene
C. 6-Butyl-5-ethyl-3-methyldec-4-ene
D. 2,4,5-Triethylnon-3-ene

Explanation

To determine the correct IUPAC name for the given compound, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Longest Carbon Chain**:
- The first step is to find the longest continuous chain of carbon atoms in the compound. In this case, the longest chain consists of 10 carbon atoms.

2. **Number the Carbon Chain**:
- Number the carbon atoms in the longest chain starting from the end closest to the first substituent. In this case, we will number from the left side:
- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

3. **Identify Substituents**:
- Look for substituents attached to the main carbon chain:
- At carbon 3, there is a methyl group (–CH₃).
- At carbon 5 and carbon 6, there are ethyl groups (–C₂H₅).

4. **Determine the Position and Name of Substituents**:
- The ethyl groups are at positions 5 and 6, so we denote them as "5,6-diethyl".
- The methyl group is at position 3, so we denote it as "3-methyl".

5. **Identify Any Functional Groups**:
- Check for any functional groups or multiple bonds. There is a double bond between carbon 4 and carbon 5, which we denote as "4-ene".

6. **Combine All Parts for the IUPAC Name**:
- Combine the substituents and the main chain name. The base name for a 10-carbon alkene is "decene".
- Putting it all together, the full IUPAC name is:
- 5,6-diethyl-3-methyldec-4-ene.

### Final Answer:
The correct IUPAC name of the compound is **5,6-diethyl-3-methyldec-4-ene**.

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