Concept: The valid conclusion follows from the contrapositive of the given implication m⇒n.Explanation:The given statement is m: Edna is respectful and n: Edna is brilliant.We are given the implication m⇒n.The contrapositive of m⇒n is ¬n⇒¬m.That means: If Edna is not brilliant, then Edna is not respectful.This is exactly option A: ¬n⇒¬m.The other options are not valid converses, inverses, or logical consequences of m⇒n.Answer: A. ¬n⇒¬m.