you're presented with a logical puzzle from a hypothetical town where people are categorized as either "Detestable" or "Suggestible." Detestable individuals always lie, whereas Suggestible individuals tell the truth unless they have just heard a lie; in that case, suggestible individuals lie as well. You're in this town, looking for directions back to your hotel. The town is laid out with just one street and the hotel is either to the east or west. You encounter two locals for help. The first person tells you, "The hotel is east of here." The second person immediately claims, "That's a lie." You must figure out where the hotel is based on these statements and explain your reasoning. Consider the implications of each person's statement, keeping in mind their possible personality traits (Detestable or Suggestible) and the rules about how they speak (truth or lie).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 you're presented with a logical puzzle from a hypothetical town where people are categorized as either "Detestable" or "Suggestible." Detestable individuals always lie, whereas Suggestible individuals tell the truth unless they have just heard a lie; in that case, suggestible individuals lie as well.

You're in this town, looking for directions back to your hotel. The town is laid out with just one street and the hotel is either to the east or west. You encounter two locals for help.

The first person tells you, "The hotel is east of here."

The second person immediately claims, "That's a lie."

You must figure out where the hotel is based on these statements and explain your reasoning. Consider the implications of each person's statement, keeping in mind their possible personality traits (Detestable or Suggestible) and the rules about how they speak (truth or lie).

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