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
$$A \cup B =$$
{ auditory, context-free, context-sensitive, kinesthetic, recursively enumerable, regular, visual }
Symmetric Difference
$$A \ominus B =$$
{ auditory, context-free, context-sensitive, kinesthetic, recursively enumerable, regular, visual }
Difference
$$A - B =$$
{ auditory, kinesthetic, visual }
Difference
$$B - A =$$
{ context-free, context-sensitive, recursively enumerable, regular }
Cartesian Product
$$A \times B =$$
{ (auditory, context-free),
(auditory, context-sensitive),
(auditory, recursively enumerable),
(auditory, regular),
(kinesthetic, context-free),
(kinesthetic, context-sensitive),
(kinesthetic, recursively enumerable),
(kinesthetic, regular),
(visual, context-free),
(visual, context-sensitive),
(visual, recursively enumerable),
(visual, regular) }