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
$$A \cup B =$$
{ aries, cancer, capricorn, knowledge, libra, position, status }
Symmetric Difference
$$A \ominus B =$$
{ aries, cancer, capricorn, knowledge, libra, position, status }
Difference
$$A - B =$$
{ knowledge, position, status }
Difference
$$B - A =$$
{ aries, cancer, capricorn, libra }
Cartesian Product
$$A \times B =$$
{ (knowledge, aries),
(knowledge, cancer),
(knowledge, capricorn),
(knowledge, libra),
(position, aries),
(position, cancer),
(position, capricorn),
(position, libra),
(status, aries),
(status, cancer),
(status, capricorn),
(status, libra) }