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
$$A \cup B =$$
{ generating, incline, lever, overcoming, pulley, screw, wedge, wheel }
Symmetric Difference
$$A \ominus B =$$
{ generating, incline, lever, overcoming, pulley, screw, wedge, wheel }
Difference
$$A - B =$$
{ incline, lever, pulley, screw, wedge, wheel }
Difference
$$B - A =$$
{ generating, overcoming }
Cartesian Product
$$A \times B =$$
{ (incline, generating),
(incline, overcoming),
(lever, generating),
(lever, overcoming),
(pulley, generating),
(pulley, overcoming),
(screw, generating),
(screw, overcoming),
(wedge, generating),
(wedge, overcoming),
(wheel, generating),
(wheel, overcoming) }