Sets - Relative Complement
展豪 張
and
Calvin Lin
contributed
This wiki is incomplete.
Complement (Relative), denoted \( \backslash\), refers to the elements in the first set, but are not in the second set.
In symbols, for set \(A\) and \(B\), \(A \backslash B = \{ x | x \in A \wedge x \notin B\}\)
Venn Diagram Sets
In the example, \( H\backslash T = \{ c, f \} \).
\[O\]
\(\mathbb N^*\) (natural number set without \(0\))
\[E\]
\(\phi\) (empty set)
Let \(O=\{1,3,\cdots\}\) be the set of positive odd numbers.
Let \(E=\{2,4,\cdots\}\) be the set of positive even numbers.
Let \(\backslash\) be relative complement.
\(O\backslash E=\)
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Sets - Relative Complement.
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