Set Union/Examples/Set of Arbitrary Sets

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Example of Union of Set of Sets

Let:

\(\displaystyle A\) \(=\) \(\displaystyle \set {1, 2, 3, 4}\)
\(\displaystyle B\) \(=\) \(\displaystyle \set {a, 3, 4}\)
\(\displaystyle C\) \(=\) \(\displaystyle \set {2, a}\)


Let $\mathscr S = \set {A, B, C}$.

Then:

$\displaystyle \bigcup \mathscr S = \set {1, 2, 3, 4, a}$


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