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
$$A \cup B =$$
{ DNA is passed between cells during cell division., Energy flow occurs within cells., The cells of all organisms within a similar species are mostly the same, both structurally and chemically., angry, bored, happy, peaceful }
Symmetric Difference
$$A \ominus B =$$
{ DNA is passed between cells during cell division., Energy flow occurs within cells., The cells of all organisms within a similar species are mostly the same, both structurally and chemically., angry, bored, happy, peaceful }
Difference
$$A - B =$$
{ angry, bored, happy, peaceful }
Difference
$$B - A =$$
{ DNA is passed between cells during cell division., Energy flow occurs within cells., The cells of all organisms within a similar species are mostly the same, both structurally and chemically. }
Cartesian Product
$$A \times B =$$
{ (angry, DNA is passed between cells during cell division.),
(angry, Energy flow occurs within cells.),
(angry, The cells of all organisms within a similar species are mostly the same, both structurally and chemically.),
(bored, DNA is passed between cells during cell division.),
(bored, Energy flow occurs within cells.),
(bored, The cells of all organisms within a similar species are mostly the same, both structurally and chemically.),
(happy, DNA is passed between cells during cell division.),
(happy, Energy flow occurs within cells.),
(happy, The cells of all organisms within a similar species are mostly the same, both structurally and chemically.),
(peaceful, DNA is passed between cells during cell division.),
(peaceful, Energy flow occurs within cells.),
(peaceful, The cells of all organisms within a similar species are mostly the same, both structurally and chemically.) }
Contrasting and categorization of emotions