Question

Determine whether this statement is true or false: ∅ ∈ ∅?

Answer 1

The statement ∅ ∈ ∅ is false because the empty set cannot be an element of itself.

Step-by-step explanation:

The statement ∅ ∈ ∅ is false.

The symbol ∅ represents the empty set, which is a set with no elements. In other words, it is a set that contains nothing.

Since the empty set contains no elements, it cannot be an element of itself. Therefore, the statement ∅ ∈ ∅ is false.