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, hope, metal, pray, repeat if necessary, water, wood }
Symmetric Difference
$$A \ominus B =$$
{ earth, fire, hope, metal, pray, repeat if necessary, water, wood }
Difference
$$A - B =$$
{ hope, pray, repeat if necessary }
Difference
$$B - A =$$
{ earth, fire, metal, water, wood }
Cartesian Product
$$A \times B =$$
{ (hope, earth),
(hope, fire),
(hope, metal),
(hope, water),
(hope, wood),
(pray, earth),
(pray, fire),
(pray, metal),
(pray, water),
(pray, wood),
(repeat if necessary, earth),
(repeat if necessary, fire),
(repeat if necessary, metal),
(repeat if necessary, water),
(repeat if necessary, wood) }
Salvation