Give the $IUPAC$ name of $(CH_3)_3C-CH(C_2H_5)_2$. Why is $3-$methyl$-4,4-$dimethylpentane an incorrect name?

(A) The structure is $(CH_3)_3C-CH(C_2H_5)_2$.
First,identify the longest carbon chain,which contains $6$ carbons (hexane).
Numbering from the left gives substituents at positions $2, 2, 3$.
The correct $IUPAC$ name is $3-$ethyl$-2,2-$dimethylpentane.
The name $3-$methyl$-4,4-$dimethylpentane is incorrect because it does not identify the longest carbon chain correctly and violates the rules for selecting the parent chain and numbering.