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
$$A \cup B =$$
{ arithmetic, astronomy, brainstem, cerebellum, cerebrum, geometry, music }
Symmetric Difference
$$A \ominus B =$$
{ arithmetic, astronomy, brainstem, cerebellum, cerebrum, geometry, music }
Difference
$$A - B =$$
{ arithmetic, astronomy, geometry, music }
Difference
$$B - A =$$
{ brainstem, cerebellum, cerebrum }
Cartesian Product
$$A \times B =$$
{ (arithmetic, brainstem),
(arithmetic, cerebellum),
(arithmetic, cerebrum),
(astronomy, brainstem),
(astronomy, cerebellum),
(astronomy, cerebrum),
(geometry, brainstem),
(geometry, cerebellum),
(geometry, cerebrum),
(music, brainstem),
(music, cerebellum),
(music, cerebrum) }
Quadrivium