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
$$A \cup B =$$
{ austerities, conduct, executive branch, faith, judicial branch, knowledge, legislative branch, power }
Symmetric Difference
$$A \ominus B =$$
{ austerities, conduct, executive branch, faith, judicial branch, knowledge, legislative branch, power }
Difference
$$A - B =$$
{ executive branch, judicial branch, legislative branch }
Difference
$$B - A =$$
{ austerities, conduct, faith, knowledge, power }
Cartesian Product
$$A \times B =$$
{ (executive branch, austerities),
(executive branch, conduct),
(executive branch, faith),
(executive branch, knowledge),
(executive branch, power),
(judicial branch, austerities),
(judicial branch, conduct),
(judicial branch, faith),
(judicial branch, knowledge),
(judicial branch, power),
(legislative branch, austerities),
(legislative branch, conduct),
(legislative branch, faith),
(legislative branch, knowledge),
(legislative branch, power) }
Federal government of the United States