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
$$A \cup B =$$
{ argumentative, critical, descriptive, expository, narrative, speculative grammar, speculative rhetoric }
Symmetric Difference
$$A \ominus B =$$
{ argumentative, critical, descriptive, expository, narrative, speculative grammar, speculative rhetoric }
Difference
$$A - B =$$
{ argumentative, descriptive, expository, narrative }
Difference
$$B - A =$$
{ critical, speculative grammar, speculative rhetoric }
Cartesian Product
$$A \times B =$$
{ (argumentative, critical),
(argumentative, speculative grammar),
(argumentative, speculative rhetoric),
(descriptive, critical),
(descriptive, speculative grammar),
(descriptive, speculative rhetoric),
(expository, critical),
(expository, speculative grammar),
(expository, speculative rhetoric),
(narrative, critical),
(narrative, speculative grammar),
(narrative, speculative rhetoric) }
Charles Sanders Peirce