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
$$A \cup B =$$
{ A, B, blue, green, indigo, orange, red, violet, yellow }
Symmetric Difference
$$A \ominus B =$$
{ A, B, blue, green, indigo, orange, red, violet, yellow }
Difference
$$A - B =$$
{ blue, green, indigo, orange, red, violet, yellow }
Difference
$$B - A =$$
{ A, B }
Cartesian Product
$$A \times B =$$
{ (blue, A),
(blue, B),
(green, A),
(green, B),
(indigo, A),
(indigo, B),
(orange, A),
(orange, B),
(red, A),
(red, B),
(violet, A),
(violet, B),
(yellow, A),
(yellow, B) }