Union
$$A \cup B =$$
{ adventure, ammo, art, ballot, beauty, jury, peace, soap, truth }
Symmetric Difference
$$A \ominus B =$$
{ adventure, ammo, art, ballot, beauty, jury, peace, soap, truth }
Difference
$$A - B =$$
{ adventure, art, beauty, peace, truth }
Difference
$$B - A =$$
{ ammo, ballot, jury, soap }
Cartesian Product
$$A \times B =$$
{ (adventure, ammo),
(adventure, ballot),
(adventure, jury),
(adventure, soap),
(art, ammo),
(art, ballot),
(art, jury),
(art, soap),
(beauty, ammo),
(beauty, ballot),
(beauty, jury),
(beauty, soap),
(peace, ammo),
(peace, ballot),
(peace, jury),
(peace, soap),
(truth, ammo),
(truth, ballot),
(truth, jury),
(truth, soap) }