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
$$A \cup B =$$
{ Attitude Skills, Fire Skills, Food Skills, Naturalist Skills, Shelter Skills, Water Skills, yang, yin }
Symmetric Difference
$$A \ominus B =$$
{ Attitude Skills, Fire Skills, Food Skills, Naturalist Skills, Shelter Skills, Water Skills, yang, yin }
Difference
$$A - B =$$
{ yang, yin }
Difference
$$B - A =$$
{ Attitude Skills, Fire Skills, Food Skills, Naturalist Skills, Shelter Skills, Water Skills }
Cartesian Product
$$A \times B =$$
{ (yang, Attitude Skills),
(yang, Fire Skills),
(yang, Food Skills),
(yang, Naturalist Skills),
(yang, Shelter Skills),
(yang, Water Skills),
(yin, Attitude Skills),
(yin, Fire Skills),
(yin, Food Skills),
(yin, Naturalist Skills),
(yin, Shelter Skills),
(yin, Water Skills) }
Yin and yang