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
$$A \cup B =$$
{ adenine, cytosine, darkness, goodness, guanine, passion, thymine }
Symmetric Difference
$$A \ominus B =$$
{ adenine, cytosine, darkness, goodness, guanine, passion, thymine }
Difference
$$A - B =$$
{ adenine, cytosine, guanine, thymine }
Difference
$$B - A =$$
{ darkness, goodness, passion }
Cartesian Product
$$A \times B =$$
{ (adenine, darkness),
(adenine, goodness),
(adenine, passion),
(cytosine, darkness),
(cytosine, goodness),
(cytosine, passion),
(guanine, darkness),
(guanine, goodness),
(guanine, passion),
(thymine, darkness),
(thymine, goodness),
(thymine, passion) }