Set Difference/Examples/1, 2, 3 less 2, 4, 5, 6

Example of Set Difference
Let $S$ and $T$ be sets such that:


 * $S = \set {1, 2, 3}$
 * $T = \set {2, 4, 5, 6}$

Let $\setminus$ denote set difference.

Then:
 * $S \setminus T = \set {1, 3}$

while:
 * $T \setminus S = \set {4, 5, 6}$

It can immediately be seen that $S \setminus T$ is not commutative.

Also see

 * Set Difference is Anticommutative