If Disney promotes family cruises, then if either Holland remodels its staterooms or Regent enlarges its casinos, then Windstar diversifies its activities.
A) [D ⊃ (H ∨ R)] ⊃ W
B) D ⊃ [(H ⊃ R) ⊃ W]
C) [(H ∨ R) ⊃ D] ⊃ W
D) D ⊃ [(H ∨ R) ⊃ W]
E) D ⊃ (H ∨ R) ⊃ W

Question

Quizplus · Accepted Answer

The statement "If Disney promotes family cruises, then if either Holland remodels its staterooms or Regent enlarges its casinos, then Windstar diversifies its activities" is a conditional statement with two parts. The first part is "if Disney promotes family cruises," and the second part is "if either Holland remodels its staterooms or Regent enlarges its casinos, then Windstar diversifies its activities." We can represent the second part of the statement as (H ∨ R) ⊃ W, meaning if Holland remodels its staterooms or if Regent enlarges its casinos, then Windstar diversifies its activities. Using this notation, the entire conditional statement can be represented as D ⊃ [(H ∨ R) ⊃ W], which is equivalent to choice D.

If Disney Promotes Family Cruises, Then If Either Holland Remodels