Question

What is the complement of the intersection of sets A and B, denoted as (A∩B)′?

A. {s, u, w}
B. {t, v, x}
C. {r, t, u, v, w, x, z}
D. {q, s, t, u, v, w, x, y}

Answer 1

The complement of the intersection of sets A and B is a set consisting of all elements in the universal set, excluding those that are in both A and B. Therefore, the complement (A∩B)' will include all elements from the universal set except for 14, 16, and 18.

Step-by-step explanation:

The complement of the intersection of sets A and B, denoted as (A∩B)', is the set of all elements that are not in both A and B at the same time. Given that the intersection A AND B is {14,16,18}, the complement (A∩B)' would include all the outcomes from the universal set that are not 14, 16, or 18. Since the set A OR B, which contains all outcomes in either A or B, is listed as {2, 4, 6, 8, 10, 12, 14, 15, 16, 17, 18, 19}, we can deduce that the universal set includes at least these elements. Therefore, the complement (A∩B)' will include all elements from the universal set except for 14, 16, and 18.