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
$$A \cup B =$$
{ declarative, exclamatory, grammar, imperative, interrogative, logic, rhetoric }
Symmetric Difference
$$A \ominus B =$$
{ declarative, exclamatory, grammar, imperative, interrogative, logic, rhetoric }
Difference
$$A - B =$$
{ declarative, exclamatory, imperative, interrogative }
Difference
$$B - A =$$
{ grammar, logic, rhetoric }
Cartesian Product
$$A \times B =$$
{ (declarative, grammar),
(declarative, logic),
(declarative, rhetoric),
(exclamatory, grammar),
(exclamatory, logic),
(exclamatory, rhetoric),
(imperative, grammar),
(imperative, logic),
(imperative, rhetoric),
(interrogative, grammar),
(interrogative, logic),
(interrogative, rhetoric) }