Set Intersection/Examples/3 Arbitrarily Chosen Sets of Complex Numbers

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Example of Set Intersection

Let:

\(\ds A\) \(=\) \(\ds \set {3, -i, 4, 2 + i, 5}\)
\(\ds B\) \(=\) \(\ds \set {-i, 0, -1, 2 + i}\)
\(\ds C\) \(=\) \(\ds \set {-\sqrt 2 i, \dfrac 1 2, 3}\)

Then:

$B \cap C = \O$

and so it follows that:

$A \cap \paren {B \cap C} = \O$


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