Set theory in math

Introduction:

        Set theory is one of the branches of math that studies sets, which  there are collections of objects. Set theory is applied to objects that are relevant to math. Set theory begins with the binary relation between an item o and a set A. If o is a member or element of the A, since sets are defined as the objects, then the relationship can relate sets as well.

Set theory basic operations:

      Subset relation is a derived binary relation exists connecting the two sets which is known as the set inclusion. If all the members of sets A are the members of set B, then A is a said to be the subset of B, which is denoted as A U B.

• Union: In math, the union of the sets A and B, denoted A U B, is the set of all objects that are a member of A, or B, or can be both. The union of {1, 2, 3} and {2, 3, 4} in this set A U B is  set {1, 2, 3, 4}.
• Intersection: In math, the intersection of the sets A and B can be denoted as A ∩ B in the cases that the set of all objects are the members of both AB. Hence the intersection of {1, 2, 3} and {2, 3, 4} is the set {2, 3}.

Set theory complement:

• Complement: In math, Complement set A is related to the set U, which is denoted A^c, and that is the set of all members of U, that are not members of A. This expression is most commonly employed when the universal set states as U, as in the study of Venn diagrams. This operation is also mean to be as the set difference of U and A, such that can be denoted by U/A. The complement of the set {1,2,3} relative to {2,3,4} is {4} conversely, the complement of {2,3,4} relative to {1,2,3} is {1} .

   Hope you like the above explanation of Set Theory, Please leave your comments, if you have any doubts.