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
$$A \cup B =$$
{ archaea, bacteria, eukarya, feeling, intuition, sensation, thinking }
Symmetric Difference
$$A \ominus B =$$
{ archaea, bacteria, eukarya, feeling, intuition, sensation, thinking }
Difference
$$A - B =$$
{ archaea, bacteria, eukarya }
Difference
$$B - A =$$
{ feeling, intuition, sensation, thinking }
Cartesian Product
$$A \times B =$$
{ (archaea, feeling),
(archaea, intuition),
(archaea, sensation),
(archaea, thinking),
(bacteria, feeling),
(bacteria, intuition),
(bacteria, sensation),
(bacteria, thinking),
(eukarya, feeling),
(eukarya, intuition),
(eukarya, sensation),
(eukarya, thinking) }