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
$$A \cup B =$$
{ conduct, enclosure, faith, hearth, knowledge, mound, roof }
Symmetric Difference
$$A \ominus B =$$
{ conduct, enclosure, faith, hearth, knowledge, mound, roof }
Difference
$$A - B =$$
{ conduct, faith, knowledge }
Difference
$$B - A =$$
{ enclosure, hearth, mound, roof }
Cartesian Product
$$A \times B =$$
{ (conduct, enclosure),
(conduct, hearth),
(conduct, mound),
(conduct, roof),
(faith, enclosure),
(faith, hearth),
(faith, mound),
(faith, roof),
(knowledge, enclosure),
(knowledge, hearth),
(knowledge, mound),
(knowledge, roof) }
Ratnatraya