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In a certain code, 'A $ B' means A > B, 'A © B' means A ≥ B, 'A # B' means A < B, and 'A % B' means A ≤ B. Given P $ Q, Q © R, R $ T, which conclusion is definitely true?

Competition practiceInequalities
  • AP $ T
  • BQ # T
  • CR © P
  • DT $ R

Step-by-Step Solution

Decoding: P > Q ≥ R > T, so P > T, i.e. P $ T is true. The others (T > R, Q < T, R ≥ P) are all false.
Answer: A) P $ T

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