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Tanya is older than Eric.Cliff is older than Tanya.Eric is older than Cliff.If the first two statements are true, the third statement is*truefalseuncertain

Question

Tanya is older than Eric.

Cliff is older than Tanya.

Eric is older than Cliff.

If the first two statements are true, the third statement is true/false/uncertain.

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Solution

To analyze the statements logically:

  1. Break Down the Problem

    • We have three individuals: Tanya (T), Eric (E), and Cliff (C).
    • The statements provided are:
      1. Tanya is older than Eric (T > E)
      2. Cliff is older than Tanya (C > T)
      3. Eric is older than Cliff (E > C)
  2. Relevant Concepts

    • We will evaluate the logical consistency of the statements.
  3. Analysis and Detail

    • From the first statement, we have:
      T>E T > E (Tanya is older than Eric)
    • From the second statement, we have:
      C>T C > T (Cliff is older than Tanya)
      Combining this with the first statement gives:
      C>T>E C > T > E (Cliff is older than Tanya, who is older than Eric)
    • The third statement claims:
      E>C E > C (Eric is older than Cliff)
      However, from our analysis, we see that C C is actually older than E E .
  4. Verify and Summarize

    • The third statement contradicts the conclusion drawn from the first two statements. Therefore, it is false.

Final Answer

The third statement is false.

This problem has been solved

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