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
$$A \cup B =$$
{ achiever, explorer, free flow, killer, socializer, synchronized flow, wide moving jam }
Symmetric Difference
$$A \ominus B =$$
{ achiever, explorer, free flow, killer, socializer, synchronized flow, wide moving jam }
Difference
$$A - B =$$
{ achiever, explorer, killer, socializer }
Difference
$$B - A =$$
{ free flow, synchronized flow, wide moving jam }
Cartesian Product
$$A \times B =$$
{ (achiever, free flow),
(achiever, synchronized flow),
(achiever, wide moving jam),
(explorer, free flow),
(explorer, synchronized flow),
(explorer, wide moving jam),
(killer, free flow),
(killer, synchronized flow),
(killer, wide moving jam),
(socializer, free flow),
(socializer, synchronized flow),
(socializer, wide moving jam) }
Bartle taxonomy of player types