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Zorluk: OrtaMust Be True / Most Strongly Supported

According to municipal aquifer management regulations, any commercial facility operating in the Green River basin that extracts more than 50,000 gallons of groundwater daily is classified as a Tier-1 consumer. Every Tier-1 consumer is required to install digital ultrasonic flow meters on all active wellheads. Furthermore, any facility required to install digital ultrasonic flow meters must submit to an annual hydrologic audit. Clearwater Brewing operates in the Green River basin and has not submitted to an annual hydrologic audit.

Statement: Clearwater Brewing does not extract more than 50,000 gallons of groundwater daily.

Cevap: Cevap

Cevap

True
The conclusion is logically valid via modus tollens across a transitive chain: Extraction > 50,000 gallons leads directly to a mandatory audit; therefore, the absence of an audit necessitates that extraction cannot exceed 50,000 gallons.

Adım Adım Çözüm

1
Diagram the conditional premises provided in the regulatory framework
Extracts >50,000 gallons daily → Tier-1 consumer → Required to install ultrasonic flow meters → Required to submit to annual hydrologic audit.
Establishing the linked conditional relationships clarifies what is logically necessitated by high-volume extraction.
2
Form the contrapositive of the complete conditional chain
No annual hydrologic audit → Not required to install ultrasonic flow meters → Not a Tier-1 consumer → Does not extract >50,000 gallons daily.
A conditional statement is logically equivalent to its contrapositive.
3
Apply the factual information regarding Clearwater Brewing to the contrapositive
Since Clearwater Brewing has not submitted to an annual hydrologic audit, it must be true that it does not extract more than 50,000 gallons of groundwater daily.
Matching the given condition to the contrapositive guarantees the conclusion.

Anahtar Kavram

Deductive Conditional Chaining and Contrapositive Inference
Tahmini Süre:1m 15s
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