Union
$$A \cup B =$$
{ analysis, application, comprehension, equality, evaluation, fraternity, knowledge, liberty, synthesis }
Symmetric Difference
$$A \ominus B =$$
{ analysis, application, comprehension, equality, evaluation, fraternity, knowledge, liberty, synthesis }
Difference
$$A - B =$$
{ analysis, application, comprehension, evaluation, knowledge, synthesis }
Cartesian Product
$$A \times B =$$
{ (analysis, equality),
(analysis, fraternity),
(analysis, liberty),
(application, equality),
(application, fraternity),
(application, liberty),
(comprehension, equality),
(comprehension, fraternity),
(comprehension, liberty),
(evaluation, equality),
(evaluation, fraternity),
(evaluation, liberty),
(knowledge, equality),
(knowledge, fraternity),
(knowledge, liberty),
(synthesis, equality),
(synthesis, fraternity),
(synthesis, liberty) }