#### Answer

A set is a well defined collection of objects.
Types of sets are; empty sets [ set with no elements]
finite sets [ set with limited number of elements.
infinite sets [ set with unlimited number of elements]
equal sets [ sets of same elements with same number also]
equivalent sets [ sets that have same number of elements but different elements]
universal sets [ set that contains all members in both sets]
subsets [ set part of another big set of related elements]
proper subsets [ subset of a set that is not equal to the set.]
power sets [ set of all subsets of one set]
Even sets [ set of members in both sets.]

#### Work Step by Step

empty sets [ {} set with no elements]
finite sets [ D={ james, joy,jack} set with limited number of elements.
infinite sets [ A={ 1,2,3,4,.....} set with unlimited number of elements]
equal sets [ M={ h,o,p,e} N={ e,p,o,h} same elements]
equivalent sets [ P={ a,e,i,o,u} R={ b,c,d,f,g}
5 vowels 5 consonants sets have same number of elements but different elements]
universal sets [ D={1,2,3,4} C={ 3,5,6,7} U={ 1,2,3,4,5,6,7} set that contains all members in both sets]
subsets [ A={ 1,3,5} , B={1,2,3,4,5} A is a subset of B]
proper subsets [ H={ 1,3,5} , G= {1,5} G is a proper subset of H]
power sets [ { a,b,c} = {},{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c} ]
Even sets [ A={ 1,2,3,4} B={ 2,3,4,5,6} AnB={ 2,3,4} set of members in both sets.]