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
$$A \cup B =$$
{ aesthetics, arithmetic, astronomy, ethics, geometry, logic, music }
Symmetric Difference
$$A \ominus B =$$
{ aesthetics, arithmetic, astronomy, ethics, geometry, logic, music }
Difference
$$A - B =$$
{ arithmetic, astronomy, geometry, music }
Difference
$$B - A =$$
{ aesthetics, ethics, logic }
Cartesian Product
$$A \times B =$$
{ (arithmetic, aesthetics),
(arithmetic, ethics),
(arithmetic, logic),
(astronomy, aesthetics),
(astronomy, ethics),
(astronomy, logic),
(geometry, aesthetics),
(geometry, ethics),
(geometry, logic),
(music, aesthetics),
(music, ethics),
(music, logic) }