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
$$A \cup B =$$
{ ethical, father, holy spirit, idealistic, realistic, ritualistic, son }
Symmetric Difference
$$A \ominus B =$$
{ ethical, father, holy spirit, idealistic, realistic, ritualistic, son }
Difference
$$A - B =$$
{ father, holy spirit, son }
Difference
$$B - A =$$
{ ethical, idealistic, realistic, ritualistic }
Cartesian Product
$$A \times B =$$
{ (father, ethical),
(father, idealistic),
(father, realistic),
(father, ritualistic),
(holy spirit, ethical),
(holy spirit, idealistic),
(holy spirit, realistic),
(holy spirit, ritualistic),
(son, ethical),
(son, idealistic),
(son, realistic),
(son, ritualistic) }