Union
$$A \cup B =$$
{ angry, bored, gemini, happy, peaceful, pisces, sagittarius, virgo }
Symmetric Difference
$$A \ominus B =$$
{ angry, bored, gemini, happy, peaceful, pisces, sagittarius, virgo }
Difference
$$A - B =$$
{ angry, bored, happy, peaceful }
Difference
$$B - A =$$
{ gemini, pisces, sagittarius, virgo }
Cartesian Product
$$A \times B =$$
{ (angry, gemini),
(angry, pisces),
(angry, sagittarius),
(angry, virgo),
(bored, gemini),
(bored, pisces),
(bored, sagittarius),
(bored, virgo),
(happy, gemini),
(happy, pisces),
(happy, sagittarius),
(happy, virgo),
(peaceful, gemini),
(peaceful, pisces),
(peaceful, sagittarius),
(peaceful, virgo) }