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
$$A \cup B =$$
{ hope, pray, preview, question, read, repeat if necessary, summarize, test }
Symmetric Difference
$$A \ominus B =$$
{ hope, pray, preview, question, read, repeat if necessary, summarize, test }
Difference
$$A - B =$$
{ preview, question, read, summarize, test }
Difference
$$B - A =$$
{ hope, pray, repeat if necessary }
Cartesian Product
$$A \times B =$$
{ (preview, hope),
(preview, pray),
(preview, repeat if necessary),
(question, hope),
(question, pray),
(question, repeat if necessary),
(read, hope),
(read, pray),
(read, repeat if necessary),
(summarize, hope),
(summarize, pray),
(summarize, repeat if necessary),
(test, hope),
(test, pray),
(test, repeat if necessary) }