Union
$$A \cup B =$$
{ Analytical, Argumentative, Expository, Narrative, Persuasive, failed, physical, psychic, successful }
Symmetric Difference
$$A \ominus B =$$
{ Analytical, Argumentative, Expository, Narrative, Persuasive, failed, physical, psychic, successful }
Difference
$$A - B =$$
{ failed, physical, psychic, successful }
Difference
$$B - A =$$
{ Analytical, Argumentative, Expository, Narrative, Persuasive }
Cartesian Product
$$A \times B =$$
{ (failed, Analytical),
(failed, Argumentative),
(failed, Expository),
(failed, Narrative),
(failed, Persuasive),
(physical, Analytical),
(physical, Argumentative),
(physical, Expository),
(physical, Narrative),
(physical, Persuasive),
(psychic, Analytical),
(psychic, Argumentative),
(psychic, Expository),
(psychic, Narrative),
(psychic, Persuasive),
(successful, Analytical),
(successful, Argumentative),
(successful, Expository),
(successful, Narrative),
(successful, Persuasive) }