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, beauty, crown, foundation, geometry, glory, kingdom, mercy, severity, understanding, victory, wisdom }
Symmetric Difference
$$A \ominus B =$$
{ arithmetic, beauty, crown, foundation, geometry, glory, kingdom, mercy, severity, understanding, victory, wisdom }
Difference
$$A - B =$$
{ arithmetic, geometry }
Difference
$$B - A =$$
{ beauty, crown, foundation, glory, kingdom, mercy, severity, understanding, victory, wisdom }
Cartesian Product
$$A \times B =$$
{ (arithmetic, beauty),
(arithmetic, crown),
(arithmetic, foundation),
(arithmetic, glory),
(arithmetic, kingdom),
(arithmetic, mercy),
(arithmetic, severity),
(arithmetic, understanding),
(arithmetic, victory),
(arithmetic, wisdom),
(geometry, beauty),
(geometry, crown),
(geometry, foundation),
(geometry, glory),
(geometry, kingdom),
(geometry, mercy),
(geometry, severity),
(geometry, understanding),
(geometry, victory),
(geometry, wisdom) }
Mathematics