Question

What is the intersection of the sets D = {5, 7, 10, 13, 19) and E = (3, 7, 14, 19)

A. null set
B. (5, 7, 9, 10, 13, 14, 19)
C. {7, 19}
D. (5, 9, 14)​

Answer 1

The intersection of sets D = {5, 7, 10, 13, 19} and E = {3, 7, 14, 19} is determined by identifying common elements between the two sets, which are 7 and 19. Thus, the correct answer is option C: {7, 19}.

Step-by-step explanation:

The question asks to determine the intersection of two sets D and E. The intersection of the sets consists of elements that are present in both sets. For sets D = {5, 7, 10, 13, 19} and E = {3, 7, 14, 19}, the intersection is the set of elements that appear in both list D and list E.

Comparing both sets, we see that the numbers 7 and 19 are present in both sets. Hence, the intersection of sets D and E is {7, 19}.

Therefore, option C is the correct answer.