Final answer:
It is true that the null set is a proper subset of any set B, as it contains no elements and meets the condition of a proper subset by not including all elements of B.
Step-by-step explanation:
The statement that for any set B, the null set, ∅, is a proper subset of B is TRUE. By definition, a proper subset of a set B is a set that contains some or none of the elements of B but not all of them. The null set, also known as the empty set, contains no elements and is considered a proper subset of every set, including itself, as it satisfies the conditions of not having all elements of the set B (since it has no elements).