Union
$$A \cup B =$$
{ acts of service, memorization, note taking, physical touch, quality time, reading, receiving gifts, testing, time management, words of affirmation }
Symmetric Difference
$$A \ominus B =$$
{ acts of service, memorization, note taking, physical touch, quality time, reading, receiving gifts, testing, time management, words of affirmation }
Difference
$$B - A =$$
{ acts of service, physical touch, quality time, receiving gifts, words of affirmation }
Cartesian Product
$$A \times B =$$
{ (memorization, acts of service),
(memorization, physical touch),
(memorization, quality time),
(memorization, receiving gifts),
(memorization, words of affirmation),
(note taking, acts of service),
(note taking, physical touch),
(note taking, quality time),
(note taking, receiving gifts),
(note taking, words of affirmation),
(reading, acts of service),
(reading, physical touch),
(reading, quality time),
(reading, receiving gifts),
(reading, words of affirmation),
(testing, acts of service),
(testing, physical touch),
(testing, quality time),
(testing, receiving gifts),
(testing, words of affirmation),
(time management, acts of service),
(time management, physical touch),
(time management, quality time),
(time management, receiving gifts),
(time management, words of affirmation) }