In the town of Greenville, a local ordinance requires that all residential buildings constructed after the year 2020 be equipped with solar panels. The Oakwood Apartment complex, a residential building in Greenville, was completed in 2022. On the other hand, the Pinecone Townhomes, another residential building in Greenville, are not equipped with solar panels.
Based on the information above, which of the following statements are most strongly supported?
- The Oakwood Apartment complex is equipped with solar panels.Cevap
- The Pinecone Townhomes were not constructed after the year 2020.Cevap
- CAny residential building in Greenville equipped with solar panels was constructed after the year 2020.
- DResidential buildings in Greenville constructed in or before 2020 are not equipped with solar panels.
- ECommercial buildings in Greenville are subject to the same solar panel regulations as residential buildings.
Cevap
The statements supported are that the Oakwood Apartment complex is equipped with solar panels, and the Pinecone Townhomes were not constructed after the year 2020.
The stimulus establishes a conditional rule: If a residential building in Greenville is constructed after 2020, it must have solar panels. The Oakwood complex meets this sufficient condition (built in 2022), so it must have solar panels. The Pinecone Townhomes lack solar panels, meaning they fail the necessary condition. By contrapositive logic, they could not have been built after 2020.
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Anahtar Kavram
Evaluating valid inferences using conditional logic, including direct application (Modus Ponens) and the contrapositive (Modus Tollens).