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 $\setminus$ is not commutative.
Also see
Sources
- 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 6$: Subsets