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Zorluk: KolayMust Be True / Most Strongly Supported

At the Crestview Municipal Library, every employee who manages the archival collection has completed advanced cataloging training. In addition, no employee who has completed advanced cataloging training is permitted to perform public front-desk duties during morning shifts.

If the statements above are true, which of the following must also be true?

  1. A
    Any Crestview Municipal Library employee who is not permitted to perform public front-desk duties during morning shifts manages the archival collection.
  2. B
    Every employee employed by the Crestview Municipal Library has completed advanced cataloging training.
  3. No employee at the Crestview Municipal Library who manages the archival collection is permitted to perform public front-desk duties during morning shifts.Cevap
  4. D
    Completing advanced cataloging training is sufficient to guarantee that an employee is assigned to manage the archival collection.
  5. E
    Employees who perform public front-desk duties during afternoon shifts are required to complete advanced cataloging training.

Cevap

No employee at the Crestview Municipal Library who manages the archival collection is permitted to perform public front-desk duties during morning shifts.
The statement that no employee who manages the archival collection is permitted to perform morning front-desk duties follows directly from chaining the two premises: any archive manager must have completed advanced cataloging training, and anyone who has completed that training is barred from working the morning front desk.

Adım Adım Çözüm

1
Identify and symbolize the first conditional premise.
Manage Archive → Completed Advanced Training
The statement establishes that managing the archival collection guarantees that advanced cataloging training has been completed.
2
Identify and symbolize the second conditional premise.
Completed Advanced Training → NOT Permitted Morning Front-Desk Duties
The universal negative rule establishes that having completed advanced training excludes an employee from morning front-desk duties.
3
Chain the conditional statements together deductively.
Manage Archive → Completed Advanced Training → NOT Permitted Morning Front-Desk Duties, which yields: Manage Archive → NOT Permitted Morning Front-Desk Duties
Transitive property of conditional logic yields the guaranteed deduction.

Anahtar Kavram

Transitive conditional chaining and universal deductive deduction
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