Answer
The IUPAC name of the compound is $cis- 1,2-dichloro-1-methylcyclohexane$.
Work Step by Step
The compound has 6 carbon atoms in its carbon ring ($cyclohex-$). It has 2 $chloro$ groups at positions 1 and 2 and a $methyl$ group at position 1. The two $chloro$ substituents are on the same side of the plane, so it is a $cis-$ configuration. So, the IUPAC name of the compound is $cis- 1,2-dichloro-1-methylcyclohexane$.