Question

Given sets U, A, B, and C, find the set A'N(BUC').

a) {4, 5, 6}
b) {1, 2, 3, 4, 5, 6, 7}
c) {2, 3, 4, 5, 6, 7}
d) {3, 4, 5, 6}

Answer 1

Without explicit details of the sets A, B, C, and U, we cannot determine the solution to A' AND (B UNION C'). This operation involves finding the set A', the set C', and then the common elements between set A' and the union of sets B and C'.

Step-by-step explanation:

To solve for the set A' AND (B UNION C'), first we need to understand the following operations: A' is the complement of A, which includes all elements in the universal set U that are not in set A. The UNION operator (B UNION C') combines all unique elements from sets B and C'. To find A' AND (B UNION C'), we need to take the elements that are common to both A' and the union of B and C'. Let's go through the steps to solve this:

1. Identify set A' as all elements not in set A.
2. Find set C' as all elements not in set C.
3. Combine the unique elements from sets B and C' to form B UNION C'.
4. Identify common elements between A' and (B UNION C').

Based on the given information, we are not provided with the actual elements of sets A, B, C, or U. Therefore, we cannot conclusively determine the elements of A' AND (B UNION C') and select an answer without additional context or information about the sets involved.