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
$$A \cup B =$$
{ body, courage, justice, mind, prudence, speech, temperance }
Symmetric Difference
$$A \ominus B =$$
{ body, courage, justice, mind, prudence, speech, temperance }
Difference
$$A - B =$$
{ body, mind, speech }
Difference
$$B - A =$$
{ courage, justice, prudence, temperance }
Cartesian Product
$$A \times B =$$
{ (body, courage),
(body, justice),
(body, prudence),
(body, temperance),
(mind, courage),
(mind, justice),
(mind, prudence),
(mind, temperance),
(speech, courage),
(speech, justice),
(speech, prudence),
(speech, temperance) }