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Complement (set Theory)





RELATIVE COMPLEMENT

If ''A'' and ''B'' are Set s, then the relative complement of ''A''
in ''B'', also known as the set-theoretic difference of ''B'' and ''A'', is the set of elements in ''B'', but not in ''A''.

The relative complement of ''A'' in ''B'' is denoted ''B'' \ ''A'' (sometimes written ''B'' − ''A'', but this notation is ambiguous, as in some contexts it can be interpreted as the set of all ''b'' − ''a'', where ''b'' is taken from ''B'' and ''a'' from ''A'').

Formally: