If A and B are the 2 sets such that universal set is the elements of sets A and B then B ^c is universal set -B which is equal to A then A intersection B^c =A and A intersection A is equal to A

Introduction:
The given question is asking to find the intersection between set A and the complement of the intersection of sets A and B, denoted as A ∩ (A ∩ B)^c.

Definition of Intersection:
The intersection of two sets A and B is the set of elements that are common to both A and B. It is denoted as A ∩ B.

Definition of Complement:
The complement of a set A, denoted as A^c, is the set of all elements that do not belong to A but belong to the universal set.

Solution:
We need to find the intersection of set A with the complement of the intersection of sets A and B, i.e., A ∩ (A ∩ B)^c.

1. Intersection of A and B:
- Find the intersection of sets A and B, denoted as A ∩ B.
- This intersection will contain all the elements that are common to both A and B.

2. Complement of A ∩ B:
- Take the complement of the intersection of sets A and B, denoted as (A ∩ B)^c.
- This complement will contain all the elements that do not belong to A ∩ B but belong to the universal set.

3. Intersection of A and (A ∩ B)^c:
- Finally, find the intersection of set A with the complement of A ∩ B, i.e., A ∩ (A ∩ B)^c.
- This intersection will contain all the elements that are common to both A and the complement of A ∩ B.

Conclusion:
In conclusion, the set A ∩ (A ∩ B)^c represents the intersection of set A with the complement of the intersection of sets A and B. The resulting set will contain the elements that are common to both A and the complement of A ∩ B.