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In the statement P ≤ Q < R = S ≥ T, consider the conclusions: I. R > P.
II. Q ≥ T. Which conclusion(s) is/are definitely true?

Competition practiceInequalities
  • ANeither is true
  • BBoth I and II are true
  • COnly I is true
  • DOnly II is true

Step-by-Step Solution

P ≤ Q < R gives P < R, so R > P (I true). Q < R = S ≥ T links Q and T only through S, giving no definite relation between Q and T, so II is not certain.
Answer: C) Only I is true

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