John and Sophia are interested in the following events:ABCD===={1, 3, 5}{2, 4, 6}{1}{6}.Tick the most appropriate answer:A∖B=∅D⊆BA∪C=CNone of the above
Question
John and Sophia are interested in the following events:ABCD===={1, 3, 5}{2, 4, 6}{1}{6}.Tick the most appropriate answer:A∖B=∅D⊆BA∪C=CNone of the above
Solution
Let's break down each option:
A. A∖B=∅: This means that the set difference between A and B is an empty set. In other words, there are no elements in A that are not in B. Looking at the sets A={1, 3, 5} and B={2, 4, 6}, we can see that this is not true because all elements in A are not in B. So, this option is incorrect.
B. D⊆B: This means that D is a subset of B. In other words, all elements in D are also in B. Looking at the sets D={6} and B={2, 4, 6}, we can see that this is true because the only element in D is also in B. So, this option is correct.
C. A∪C=C: This means that the union of A and C is equal to C. In other words, all elements in A and C combined are the same as the elements in C. Looking at the sets A={1, 3, 5} and C={1}, we can see that this is not true because the union of A and C would be {1, 3, 5}, which is not equal to C. So, this option is incorrect.
Therefore, the most appropriate answer is "D⊆B".
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