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
$$A \cup B =$$
{ avoiding, causal, getting, gross, ruling, socially useful, subtle }
Symmetric Difference
$$A \ominus B =$$
{ avoiding, causal, getting, gross, ruling, socially useful, subtle }
Difference
$$A - B =$$
{ avoiding, getting, ruling, socially useful }
Difference
$$B - A =$$
{ causal, gross, subtle }
Cartesian Product
$$A \times B =$$
{ (avoiding, causal),
(avoiding, gross),
(avoiding, subtle),
(getting, causal),
(getting, gross),
(getting, subtle),
(ruling, causal),
(ruling, gross),
(ruling, subtle),
(socially useful, causal),
(socially useful, gross),
(socially useful, subtle) }