Question: Write the resulting set using the listing method. {2, 6, 7} ∩ {1, 5} Select the correct choice…

Write the resulting set using the listing method.

{2, 6, 7} ∩ {1, 5}

Select the correct choice below and fill in any answer boxes present in your choice.

A. {2, 6, 7} ∩ {1, 5} = { } (Use a comma to separate answers as needed.)

B. {2, 6, 7} ∩ {1, 5} is the empty set.

Solution

To solve the problem, we need to find the intersection of the two sets: \(\{2, 6, 7\}\) and \(\{1, 5\}\). Identify the common elements in both sets. Since there are no common elements, the intersection is the empty set. Therefore, the solution is option B: \(\{2, 6, 7\} \cap \{1, 5\}\) is the empty set.