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
$$A \cup B =$$
{ courage, equality, fraternity, justice, liberty, prudence, temperance }
Symmetric Difference
$$A \ominus B =$$
{ courage, equality, fraternity, justice, liberty, prudence, temperance }
Difference
$$A - B =$$
{ equality, fraternity, liberty }
Difference
$$B - A =$$
{ courage, justice, prudence, temperance }
Cartesian Product
$$A \times B =$$
{ (equality, courage),
(equality, justice),
(equality, prudence),
(equality, temperance),
(fraternity, courage),
(fraternity, justice),
(fraternity, prudence),
(fraternity, temperance),
(liberty, courage),
(liberty, justice),
(liberty, prudence),
(liberty, temperance) }