If Nancy marries Ralph, then everyone in the family will be happy.
A) (Mn • Rm) ⊃ (x)(Fx ⊃ Hx)
B) (∃x)(Fx • Hx) ⊃ Mnr
C) Mnr ⊃(x)(Fx ⊃ Hx)
D) (Nm • Rm) ⊃ (x)(Fx ⊃ Hx)
E) Mnr ⊃ (∃x)(Fx ⊃ Hx)

Question

Quizplus · Accepted Answer

C) Mnr ⊃ (x)(Fx ⊃ Hx) correctly translates the statement "If Nancy marries Ralph, then everyone in the family will be happy." It indicates that the marriage between Nancy and Ralph (Mnr) is a sufficient condition for every family member (x) being happy (Hx), given that they are a family member (Fx).

If Nancy Marries Ralph, Then Everyone in the Family Will