Union
$$A \cup B =$$
{ blue, deep sleep, dreaming, green, indigo, orange, red, superconsciousness, violet, waking, yellow }
Symmetric Difference
$$A \ominus B =$$
{ blue, deep sleep, dreaming, green, indigo, orange, red, superconsciousness, violet, waking, yellow }
Difference
$$B - A =$$
{ blue, green, indigo, orange, red, violet, yellow }
Cartesian Product
$$A \times B =$$
{ (deep sleep, blue),
(deep sleep, green),
(deep sleep, indigo),
(deep sleep, orange),
(deep sleep, red),
(deep sleep, violet),
(deep sleep, yellow),
(dreaming, blue),
(dreaming, green),
(dreaming, indigo),
(dreaming, orange),
(dreaming, red),
(dreaming, violet),
(dreaming, yellow),
(superconsciousness, blue),
(superconsciousness, green),
(superconsciousness, indigo),
(superconsciousness, orange),
(superconsciousness, red),
(superconsciousness, violet),
(superconsciousness, yellow),
(waking, blue),
(waking, green),
(waking, indigo),
(waking, orange),
(waking, red),
(waking, violet),
(waking, yellow) }