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.
Solution
To analyze the statements logically:
-
Break Down the Problem
- We have three individuals: Tanya (T), Eric (E), and Cliff (C).
- The statements provided are:
- Tanya is older than Eric (T > E)
- Cliff is older than Tanya (C > T)
- Eric is older than Cliff (E > C)
-
Relevant Concepts
- We will evaluate the logical consistency of the statements.
-
Analysis and Detail
- From the first statement, we have:
(Tanya is older than Eric) - From the second statement, we have:
(Cliff is older than Tanya)
Combining this with the first statement gives:
(Cliff is older than Tanya, who is older than Eric) - The third statement claims:
(Eric is older than Cliff)
However, from our analysis, we see that is actually older than .
- From the first statement, we have:
-
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.
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