Question

Given the following sets, find the set (AUB)' n C.

U = {1, 2, 3,...,8}
A = {1, 2, 3, 5}
B = {1, 2, 6}
C= {1, 3, 4, 5, 6}

Answer 1

To find the set (AUB)' n C, we first need to find the union of sets A and B, which is the set of all elements that belong to either A or B or both:

AUB = {1, 2, 3, 5, 6}

The complement of AUB, denoted by (AUB)', is the set of all elements in U that do not belong to AUB:

(AUB)' = {4, 7, 8}

Next, we need to find the intersection of (AUB)' and C, which is the set of all elements that belong to both (AUB)' and C:

(AUB)' n C = {1}

Therefore, the set (AUB)' n C contains only the element 1.