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
$$A \cup B =$$
{ adventure, art, beauty, galactic, peace, planetary, stellar, truth }
Symmetric Difference
$$A \ominus B =$$
{ adventure, art, beauty, galactic, peace, planetary, stellar, truth }
Difference
$$A - B =$$
{ adventure, art, beauty, peace, truth }
Difference
$$B - A =$$
{ galactic, planetary, stellar }
Cartesian Product
$$A \times B =$$
{ (adventure, galactic),
(adventure, planetary),
(adventure, stellar),
(art, galactic),
(art, planetary),
(art, stellar),
(beauty, galactic),
(beauty, planetary),
(beauty, stellar),
(peace, galactic),
(peace, planetary),
(peace, stellar),
(truth, galactic),
(truth, planetary),
(truth, stellar) }
Kardashev scale