102k views
1 vote
Powerset of A and B = Powerset of A and Powerset of B

A: Identity Property |
B: Union Property |
C: Complement Property |
D: Distributive Property

User Bachonk
by
8.4k points

1 Answer

3 votes

Final answer:

To find the powerset of A and B, we take the powerset of A and the powerset of B, and then find the union of these two sets.

Step-by-step explanation:

The powerset of sets A and B is the set of all possible subsets that can be formed by taking elements from sets A and B. To find the powerset of A and B, we take the powerset of A and the powerset of B, and then find the union of these two sets.

Step-by-step explanation:


  1. Find the powerset of set A: {1, 2, 3}

  2. Find the powerset of set B: {4, 5}

  3. Find the union of the two powersets: { {}, {1}, {2}, {3}, {4}, {5}, {1,4}, {1,5}, {2,4}, {2,5}, {3,4}, {3,5}, {1,2}, {1,3}, {2,3}, {1,2,4}, {1,2,5}, {1,3,4}, {1,3,5}, {2,3,4}, {2,3,5}, {1,2,3,4}, {1,2,3,5} }

User Paul Reiners
by
7.3k points