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
$$A \cup B =$$
{ electric, exploit, explore, fossil, gravitational, hydric, organic, solar, thermal, wind }
Symmetric Difference
$$A \ominus B =$$
{ electric, exploit, explore, fossil, gravitational, hydric, organic, solar, thermal, wind }
Difference
$$A - B =$$
{ electric, fossil, gravitational, hydric, organic, solar, thermal, wind }
Difference
$$B - A =$$
{ exploit, explore }
Cartesian Product
$$A \times B =$$
{ (electric, exploit),
(electric, explore),
(fossil, exploit),
(fossil, explore),
(gravitational, exploit),
(gravitational, explore),
(hydric, exploit),
(hydric, explore),
(organic, exploit),
(organic, explore),
(solar, exploit),
(solar, explore),
(thermal, exploit),
(thermal, explore),
(wind, exploit),
(wind, explore) }