Which one of the following is not true about the empty set?

Empty set is the sub set of itself

Empty set is not the sub set of every set

The intersection with any set is empty set

Empty set is the sub set of every set

Explanation

Empty set is, in fact, a subset of every set, including itself, because the definition of a subset allows the empty set to be considered a subset of any set.

The intersection of the empty set with any set is always the empty set, making statements about it true.