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
$$A \cup B =$$
{ acceptance, anger, bargaining, denial, depression, equality, fraternity, liberty }
Symmetric Difference
$$A \ominus B =$$
{ acceptance, anger, bargaining, denial, depression, equality, fraternity, liberty }
Difference
$$A - B =$$
{ equality, fraternity, liberty }
Difference
$$B - A =$$
{ acceptance, anger, bargaining, denial, depression }
Cartesian Product
$$A \times B =$$
{ (equality, acceptance),
(equality, anger),
(equality, bargaining),
(equality, denial),
(equality, depression),
(fraternity, acceptance),
(fraternity, anger),
(fraternity, bargaining),
(fraternity, denial),
(fraternity, depression),
(liberty, acceptance),
(liberty, anger),
(liberty, bargaining),
(liberty, denial),
(liberty, depression) }