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

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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


Sources