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, equality, exposition, fall, fraternity, liberty, resolution, rise }
Symmetric Difference
$$A \ominus B =$$
{ climax, equality, exposition, fall, fraternity, liberty, resolution, rise }
Difference
$$A - B =$$
{ equality, fraternity, liberty }
Difference
$$B - A =$$
{ climax, exposition, fall, resolution, rise }
Cartesian Product
$$A \times B =$$
{ (equality, climax),
(equality, exposition),
(equality, fall),
(equality, resolution),
(equality, rise),
(fraternity, climax),
(fraternity, exposition),
(fraternity, fall),
(fraternity, resolution),
(fraternity, rise),
(liberty, climax),
(liberty, exposition),
(liberty, fall),
(liberty, resolution),
(liberty, rise) }
Liberté, égalité, fraternité