Union
$$A \cup B =$$
{ charity, faith, fasting, gas, liquid, pilgrimage, plasma, prayer, solid }
Symmetric Difference
$$A \ominus B =$$
{ charity, faith, fasting, gas, liquid, pilgrimage, plasma, prayer, solid }
Difference
$$A - B =$$
{ gas, liquid, plasma, solid }
Difference
$$B - A =$$
{ charity, faith, fasting, pilgrimage, prayer }
Cartesian Product
$$A \times B =$$
{ (gas, charity),
(gas, faith),
(gas, fasting),
(gas, pilgrimage),
(gas, prayer),
(liquid, charity),
(liquid, faith),
(liquid, fasting),
(liquid, pilgrimage),
(liquid, prayer),
(plasma, charity),
(plasma, faith),
(plasma, fasting),
(plasma, pilgrimage),
(plasma, prayer),
(solid, charity),
(solid, faith),
(solid, fasting),
(solid, pilgrimage),
(solid, prayer) }