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.
Final Answer: \(\{2,7\} \cap\{1,6,7\}=\boxed{\{7\}}\)
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: \(\{2,7\} \cap\{1,6,7\}=\boxed{\{7\}}\)