The most common and most likely answer to this crossword clue is the 11 letter word LOWER-CLASS
I've seen this crossword clue in The Times
L
O
W
E
R
-
C
L
A
S
S
Buddy explains!

The straight part
We know that "Inferior" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case inferior = lower-class.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does LOWER-CLASS mean?
LOWER-CLASS adjective- Not of the elite, of the peasantry or working-class.
- Unrefined.