Question

A fair die is rolled once. Let A = {1, 3, 5}, B = {2, 4, 6}, C = {1, 2, 3, 4}, and D = {5, 6}. Which of the following is incorrect?

a) A ∩ B = emptyset
b) C ∪ D = {1, 2, 3, 4, 5, 6}
c) A ∪ C = {1, 2, 3, 4, 5}
d) B ∩ D = {6}

Answer 1

The incorrect statement is d) B ∩ D = {6}.

Step-by-step explanation:

The incorrect statement is d) B ∩ D = {6}. The intersection of sets B and D is the set of elements that are common to both sets. In this case, B ∩ D = {6}, which means that 6 is the only element that belongs to both sets B and D. Therefore, the correct answer is d) B ∩ D = {6}.