Math Fundamentals18 sections · 814 units
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Vocabulary - Complement

Everything not in set

The complement of set AA (written AcA^c or Aˉ\bar{A}) is the set of all elements not in AA, relative to some universal set UU.

For example, if U={1,2,3,4,5}U = \{1, 2, 3, 4, 5\} and A={1,2}A = \{1, 2\}, then Ac={3,4,5}A^c = \{3, 4, 5\}. You include everything in UU except what is in AA.

Complement depends on the universal set. Without specifying UU, the complement is undefined.