Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set.
A ∪ (B ∩ C)
what's unclear about it?
Im sorry the A has a line over it as if it is a complement, so it changes the answer
To find the union of two sets, you combine all the elements from both sets without duplicating any elements. The intersection of two sets, on the other hand, is the set of elements that are common to both sets. Here's how you can find A ∪ (B ∩ C):
1. Find the intersection of B and C.
B ∩ C = {9, 11}
2. Take the union of A and (B ∩ C).
A ∪ (B ∩ C) = {7, 8, 9, 10} ∪ {9, 11}
3. Combine all the elements from both sets, without duplicating any elements.
A ∪ (B ∩ C) = {7, 8, 9, 10, 11}
So, the members of the given set A ∪ (B ∩ C) are 7, 8, 9, 10, and 11.