Equality
$$A \neq B$$
A is not equal to B
Subset
$$A \not\subseteq B$$
A is not a subset of or equal to B
Superset
$$A \not\supseteq B$$
A is not a superset of or equal to B
Intersection
$$A \cap B =$$
{ }
Union
$$A \cup B =$$
{ climax, discovery, exposition, fall, practical, resolution, rise, theoretical }
Symmetric Difference
$$A \ominus B =$$
{ climax, discovery, exposition, fall, practical, resolution, rise, theoretical }
Difference
$$A - B =$$
{ discovery, practical, theoretical }
Difference
$$B - A =$$
{ climax, exposition, fall, resolution, rise }
Cartesian Product
$$A \times B =$$
{ (discovery, climax),
(discovery, exposition),
(discovery, fall),
(discovery, resolution),
(discovery, rise),
(practical, climax),
(practical, exposition),
(practical, fall),
(practical, resolution),
(practical, rise),
(theoretical, climax),
(theoretical, exposition),
(theoretical, fall),
(theoretical, resolution),
(theoretical, rise) }
Charles Sanders Peirce