Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, r, s, t}
A = {0, 2, 4, 8, r, t}
B = {1, 3, 7, 8, 9, s, t}
Find the following:
-$$\left| A ^ { \prime } \cup B ^ { \prime } \right|$$
A) 11
B) 12
C) 10
D) 13
E) None of these

Question

Quizplus · Accepted Answer

The complement of A, A', is {1, 3, 5, 6, 7, 9, s}. The complement of B, B', is {0, 2, 4, 5, 6, r}. The union of A' and B' is {0, 1, 2, 3, 4, 5, 6, 7, 9, r, s}, which has 11 elements.

Let U = {0, 1, 2, 3, 4, 5, 6 ∣A′∪B′∣\left| A ^ { \prime } \cup B ^ { \prime } \right|∣A′∪B′∣

Let U = {0, 1, 2, 3, 4, 5, 6 $\left| A ^ { \prime } \cup B ^ { \prime } \right|$