SUBSETS

If each member of set B is a member of set A, then set B is called a subset of set A or we say “Set B is included in set A”,
It i\t is possible for two to set A and B to have exactly the same elements, in that case, set A is a subset of set B, and B is a subset of set A.

Universal Set
It is the set of elements from which elements may be chosen to form sets for a particular discussion. The universal set is represented by the symbol or U
Note. 1Universal sets for the sets under consideration in not unique
Every set under discussion is a subset of the universal set

Complement Set
The complement of set A, written A’, or ~A, is the set of all elements of the universal set which are not in set A.

Union of Sets
If we combine the members of set A and set B, we obtain a third set C, which contains every member of A and every member of B. The set C is called the UNION of set A and B is read as ‘A union B’.
Definition:  The union of two sets A and B is the set which consists of all those elements which are either in A or in B or in both.

Intersection of Sets
Let A={0,1,2,3,4,5} and B={1,2,6,7”, if we want to find out the common members in the above two sets, then common members are 1,2. Thus the intersection of set A and set B is anew set, whose members are 1,2The Intersection of two sets A and B read as ‘An intersection B’.

Difference of Sets
If A and B be two given sets, then a set of all elements which belong to A but does not belong to B is called the difference of sets A and B and is denoted by A-B.
The set of all elements which belong to but does not belong to A is called the difference of sets B and A and is denoted by B-A.