Questions: Find the intersection. 2,5,7 ∩ ∅ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intersection is (Use commas to separate answers.) B. The solution is the empty set.

Solution Steps

To find the intersection of two sets, we identify the elements that are common to both sets. In this case, we are finding the intersection of the set \(\{2, 5, 7\}\) and the empty set \(\varnothing\). Since the empty set has no elements, the intersection with any set will also be the empty set.

We are given two sets: \( \{2, 5, 7\} \) and the empty set \( \varnothing \).

The intersection of two sets is the set of elements that are common to both sets. Since the empty set \( \varnothing \) has no elements, the intersection of any set with the empty set is also the empty set.

Final Answer