Answer
The given statement "∅ ∈ {Archie, Edith, Mike, Gloria}"s False.
Work Step by Step
As ∅ is an empty set it's not an element.
∅ does not belongs to the set {Archie, Edith, Mike, Gloria}.
The given statement "∅ ∈ {Archie, Edith, Mike, Gloria}"s False.