Problem
Write the resulting set using the listing method. $\{2,7\} \cap\{1,6,7\}$ Select the correct choice below and fill in any answer boxes present in your choice. A. $\{2,7\} \cap\{1,6,7\}=\{\quad$ (Lie a comma to separate answers as needed.) B. $\{2,7\} \cap\{1,6,7\}$ is the empty set.
Solution
Step 1 ：The intersection of two sets is the set of elements that are common to both sets. In this case, we need to find the common elements between the sets \(\{2,7\}\) and \(\{1,6,7\}\).
Step 2 ：set1 = \{2, 7\}
Step 3 ：set2 = \{1, 6, 7\}
Step 4 ：intersection = \{7\}
Step 5 ：Final Answer: \(\{2,7\} \cap\{1,6,7\}=\boxed{\{7\}}\)
