Sets: A,B,C - Intersection & Difference

[Fermat1]

Am I right in thinking that if we have 3 sets A,B,C, then with A intersect B represented as AB, we have:

A(B\C)=(AB)\C=B(A\C)?

 

[mathbalarka]

Yes. This follows from the definition of set minus.

 

[Evgeny.Makarov]

All three sets equal $A\cap B\cap\bar{C}$ where $\bar{C}$ is the complement of $C$.