Show your solution (formal proof of validity) on the following problem. Do this on a sheet of paper. If Newt buys the lot, then a commercial building will be constructed; whereas if Penelope buys the lot, then it will quickly be sold again. If Romero buys the lot, then a shipyard will be constructed; and if a shipyard is constructed, then Timothy will offer to lease it. Either Newt or Romero will buy the lot. Therefore either a commercial building or a shipyard will be constructed. (N-Newt buys the lot; C-A commercial building will be constructed; P- Penelope buys the lot; Q-The lot will be quickly sold again; R-Romero buys the lot; S-A shipyard will be constructed; T-Timothy will offer to lease the store.) Select all the rules of inference necessitated to reach the conclusion. Select one or more: a. Hypothetical Syllogism b. Conjunction O c. Modus Ponens Od. Addition □e. Constructive Dilemma Of. Simplification g. Modus Tollens Oh. Disjunctive Syllogism OL.Absorption

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