Union
$$A \cup B =$$
{ acts of service, earth, fire, metal, physical touch, quality time, receiving gifts, water, wood, words of affirmation }
Symmetric Difference
$$A \ominus B =$$
{ acts of service, earth, fire, metal, physical touch, quality time, receiving gifts, water, wood, words of affirmation }
Difference
$$A - B =$$
{ acts of service, physical touch, quality time, receiving gifts, words of affirmation }
Cartesian Product
$$A \times B =$$
{ (acts of service, earth),
(acts of service, fire),
(acts of service, metal),
(acts of service, water),
(acts of service, wood),
(physical touch, earth),
(physical touch, fire),
(physical touch, metal),
(physical touch, water),
(physical touch, wood),
(quality time, earth),
(quality time, fire),
(quality time, metal),
(quality time, water),
(quality time, wood),
(receiving gifts, earth),
(receiving gifts, fire),
(receiving gifts, metal),
(receiving gifts, water),
(receiving gifts, wood),
(words of affirmation, earth),
(words of affirmation, fire),
(words of affirmation, metal),
(words of affirmation, water),
(words of affirmation, wood) }
The Five Love Languages