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[SOLVED] set equality

Fermat

Active member
Nov 3, 2013
188
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

Well-known member
MHB Math Helper
Mar 22, 2013
573
Yes. This follows from the definition of set minus.
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,492
All three sets equal $A\cap B\cap\bar{C}$ where $\bar{C}$ is the complement of $C$.