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
$$A \cup B =$$
{ existential, exploit, explore, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, naturalistic, spatial }
Symmetric Difference
$$A \ominus B =$$
{ existential, exploit, explore, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, naturalistic, spatial }
Difference
$$A - B =$$
{ existential, interpersonal, intrapersonal, kinesthetic, linguistic, logical, musical, naturalistic, spatial }
Difference
$$B - A =$$
{ exploit, explore }
Cartesian Product
$$A \times B =$$
{ (existential, exploit),
(existential, explore),
(interpersonal, exploit),
(interpersonal, explore),
(intrapersonal, exploit),
(intrapersonal, explore),
(kinesthetic, exploit),
(kinesthetic, explore),
(linguistic, exploit),
(linguistic, explore),
(logical, exploit),
(logical, explore),
(musical, exploit),
(musical, explore),
(naturalistic, exploit),
(naturalistic, explore),
(spatial, exploit),
(spatial, explore) }