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In the expression P ≥ Q ≤ R < S, consider the conclusions: I. P > R
II. P < R. Which is true?

Competition practiceInequalities
  • ANeither I nor II is true
  • BOnly II is true
  • COnly I is true
  • DEither I or II is true

Step-by-Step Solution

P ≥ Q and Q ≤ R leave the P–R relation open (P could be greater than, equal to, or less than R), and I and II are not complementary, so neither is definitely true.
Answer: A) Neither I nor II is true

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