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Chapter 1: Problem 2

All of the following could be true EXCEPT: A. B is taller than \(\mathrm{E}\). B. D is taller than \(\mathrm{C}\). C. C is taller than D. D. \(\mathrm{C}\) is taller than \(\mathrm{E}\). E. \(\mathrm{F}\) is taller than \(\mathrm{B}\).

Short Answer

Expert verified
This is an ambiguous problem due to conflicting statements B and C. Both cannot be true simultaneously, thus either could be the statement which is false. The question as it stands does not provide sufficient information to single out one incorrect statement.

Step by step solution

01

Identify Contradicting Statements

Look at each of the options carefully, to determine if they contradict each other. In particular, observe statement B and C, which are: B- D is taller than C. and C- C is taller than D. These two statements flatly contradict each other, making it impossible for both to be true at the same time. Thus the task focuses on deciding between these two options.
02

Logical Analysis

None of the other statements have conflicting points. This means that if none of the other options conflicts with any others, they could potentially all be true. Therefore, the exercise essentially boils down to the contradiction between statements B and C.
03

Determine the False Statement

Because all statements could be true 'EXCEPT' one, and knowing that statements B and C directly contradict each other, either one of these could be the false statement. However, it is not explicitly provided in the problem which one is incorrect. Both cannot be true simultaneously, but one could be false while the other is true. Hence, this is an ambiguous problem.

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