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
$$A \cup B =$$
{ angry, bored, equality, fraternity, happy, liberty, peaceful }
Symmetric Difference
$$A \ominus B =$$
{ angry, bored, equality, fraternity, happy, liberty, peaceful }
Difference
$$A - B =$$
{ angry, bored, happy, peaceful }
Difference
$$B - A =$$
{ equality, fraternity, liberty }
Cartesian Product
$$A \times B =$$
{ (angry, equality),
(angry, fraternity),
(angry, liberty),
(bored, equality),
(bored, fraternity),
(bored, liberty),
(happy, equality),
(happy, fraternity),
(happy, liberty),
(peaceful, equality),
(peaceful, fraternity),
(peaceful, liberty) }
Liberté, égalité, fraternité