If U is the universal set {1, 3, 5, 7, 11}. A = {1, 3, 7, 11} and B = {3, 5, 7, 19} are the1subsets. List the elements of (A ∩ B′) − (A ∪ B′)

To solve this problem, we first need to understand the set operations involved:

1. Intersection (∩): The intersection of two sets is a new set that contains all of the elements that are in both sets.

2. Complement (′): The complement of a set A (denoted by A′) with respect to a universal set U is the set of all elements in U that are not in A.

3. Union (∪): The union of two sets is a new set that contains all of the elements that are in either set.

4. Difference (−): The difference of two sets A and B (denoted by A − B) is the set of all elements that are in A but not in B.

Now, let's solve the problem step by step:

Step 1: Find B′ (the complement of B) B′ = U − B = {1, 3, 5, 7, 11} − {3, 5, 7, 19} = {1, 11}

Step 2: Find A ∩ B′ (the intersection of A and B′) A ∩ B′ = {1, 3, 7, 11} ∩ {1, 11} = {1, 11}

Step 3