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
$$A \cup B =$$
{ Confirmation bias, Processing bias, disease, earthquake, fire, flood, hurricane, lightning, meteor, volcano }
Symmetric Difference
$$A \ominus B =$$
{ Confirmation bias, Processing bias, disease, earthquake, fire, flood, hurricane, lightning, meteor, volcano }
Difference
$$A - B =$$
{ Confirmation bias, Processing bias }
Difference
$$B - A =$$
{ disease, earthquake, fire, flood, hurricane, lightning, meteor, volcano }
Cartesian Product
$$A \times B =$$
{ (Confirmation bias, disease),
(Confirmation bias, earthquake),
(Confirmation bias, fire),
(Confirmation bias, flood),
(Confirmation bias, hurricane),
(Confirmation bias, lightning),
(Confirmation bias, meteor),
(Confirmation bias, volcano),
(Processing bias, disease),
(Processing bias, earthquake),
(Processing bias, fire),
(Processing bias, flood),
(Processing bias, hurricane),
(Processing bias, lightning),
(Processing bias, meteor),
(Processing bias, volcano) }