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, intuition, liberty, life, pursuit of happiness, sensation, thinking }
Symmetric Difference
$$A \ominus B =$$
{ feeling, intuition, liberty, life, pursuit of happiness, sensation, thinking }
Difference
$$A - B =$$
{ liberty, life, pursuit of happiness }
Difference
$$B - A =$$
{ feeling, intuition, sensation, thinking }
Cartesian Product
$$A \times B =$$
{ (liberty, feeling),
(liberty, intuition),
(liberty, sensation),
(liberty, thinking),
(life, feeling),
(life, intuition),
(life, sensation),
(life, thinking),
(pursuit of happiness, feeling),
(pursuit of happiness, intuition),
(pursuit of happiness, sensation),
(pursuit of happiness, thinking) }