Question

Use complete sentences to describe the intersection of any set A with the empty set.

Answer 1

Intersection looks for what elements are in both sets. Since there is nothing in the empty set, there is no intersection of set A and the empty set. 

Answer 2

The correct answer is:

The intersection of any set with the empty set will be the empty set.

Explanation:

The empty set is a set with no elements in it.

The intersection of two sets is the subset of elements they have in common.  Since the empty set has no elements, the intersection of it with any set will also be the empty set.