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operations of sets in algebra
Kinds of sets are: infinite set-the set continues on for infinity.There may not be an infinite amount of a thing you wear, it is limited to numbers. finite set-it has finite (countable) number of elements, it has unlimited numbers. numerical set-a set having only numbers as its elements, set prime numbers (2,3,5,7,11,13,17..) equal set-two sets are equal if they have precisely the same numbers. null set-its is a set with no elements or numbers. equivalent set-sets with the same numbers of members . intersecting sets-sets with some members in common. subsets-sets contained within others are subset.
differents kinds of sets
It isn't; the algebra 1 and 2 that you get taught in middle or high school is elementary algebra. When (if you want to) you get into more advanced algebra, you can learn linear algebra (matrix algebra) and abstract algebra (which involves sets, operations on sets, groups, and many more concepts), and probably several more types of algebra I've never heard of.
The basic operations on sets are union, intersection, complement.