The operations are
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operations of sets in algebra
The basic operations on sets are union, intersection, complement.
what is joint set
There are several different types of sets in college algebra. Some of these include notation and intersection by using brackets.
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.