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
$$A \cup B =$$
{ earth, fire, igneous, metal, metamorphic, sedimentary, water, wood }
Symmetric Difference
$$A \ominus B =$$
{ earth, fire, igneous, metal, metamorphic, sedimentary, water, wood }
Difference
$$A - B =$$
{ earth, fire, metal, water, wood }
Difference
$$B - A =$$
{ igneous, metamorphic, sedimentary }
Cartesian Product
$$A \times B =$$
{ (earth, igneous),
(earth, metamorphic),
(earth, sedimentary),
(fire, igneous),
(fire, metamorphic),
(fire, sedimentary),
(metal, igneous),
(metal, metamorphic),
(metal, sedimentary),
(water, igneous),
(water, metamorphic),
(water, sedimentary),
(wood, igneous),
(wood, metamorphic),
(wood, sedimentary) }
Wu Xing