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Zorluk: OrtaMust Be True / Most Strongly Supported

Under municipal traffic regulations, any urban intersection equipped with adaptive signal timing must also possess automated pedestrian sensors. Furthermore, no intersection that possesses automated pedestrian sensors is permitted to operate in fixed-time flash mode during peak transit hours. Intersection K is located in the municipality and is equipped with adaptive signal timing.

Statement: Intersection K is not permitted to operate in fixed-time flash mode during peak transit hours.

Cevap: Cevap

Cevap

True
The statement is logically guaranteed by combining the two universal premises: having adaptive signal timing guarantees the presence of automated pedestrian sensors, and the presence of automated pedestrian sensors forbids fixed-time flash mode during peak transit hours. Because Intersection K has adaptive signal timing, it cannot operate in fixed-time flash mode during peak hours.

Adım Adım Çözüm

1
Formalize the conditional premises from the stimulus
Adaptive Signal Timing →\rightarrow Automated Pedestrian Sensors; Automated Pedestrian Sensors →\rightarrow No Fixed-Time Flash Mode (during peak transit hours).
Translating the stimulus into formal logical relationships allows for precise deduction.
2
Chain the conditional statements using the transitive rule
Adaptive Signal Timing →\rightarrow No Fixed-Time Flash Mode (during peak transit hours).
The shared term 'Automated Pedestrian Sensors' links the sufficient condition directly to the ultimate requirement.
3
Apply the factual premise regarding Intersection K to the derived conditional rule
Because Intersection K satisfies the sufficient condition (adaptive signal timing), it necessarily satisfies the prohibition against fixed-time flash mode during peak transit hours.
Applying Modus Ponens guarantees that the statement must be true.

Anahtar Kavram

Conditional Chaining and Transitive Deduction
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