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
$$A \cup B =$$
{ feeling, hope, intuition, pray, repeat if necessary, sensation, thinking }
Symmetric Difference
$$A \ominus B =$$
{ feeling, hope, intuition, pray, repeat if necessary, sensation, thinking }
Difference
$$A - B =$$
{ hope, pray, repeat if necessary }
Difference
$$B - A =$$
{ feeling, intuition, sensation, thinking }
Cartesian Product
$$A \times B =$$
{ (hope, feeling),
(hope, intuition),
(hope, sensation),
(hope, thinking),
(pray, feeling),
(pray, intuition),
(pray, sensation),
(pray, thinking),
(repeat if necessary, feeling),
(repeat if necessary, intuition),
(repeat if necessary, sensation),
(repeat if necessary, thinking) }