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
$$A \cup B =$$
{ affective, behavioural, cognitive, earth, fire, metal, water, wood }
Symmetric Difference
$$A \ominus B =$$
{ affective, behavioural, cognitive, earth, fire, metal, water, wood }
Difference
$$A - B =$$
{ earth, fire, metal, water, wood }
Difference
$$B - A =$$
{ affective, behavioural, cognitive }
Cartesian Product
$$A \times B =$$
{ (earth, affective),
(earth, behavioural),
(earth, cognitive),
(fire, affective),
(fire, behavioural),
(fire, cognitive),
(metal, affective),
(metal, behavioural),
(metal, cognitive),
(water, affective),
(water, behavioural),
(water, cognitive),
(wood, affective),
(wood, behavioural),
(wood, cognitive) }