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In the following, the symbols carry their usual mathematical meaning. Statements: P > Q, Q ≥ R, R > S. Conclusions: I. P > S.
II. P > R. Which conclusion(s) is/are definitely true?

Competition practiceInequalities
  • ANeither I nor II is true
  • BBoth I and II are true
  • COnly II is true
  • DOnly I is true

Step-by-Step Solution

P > Q ≥ R gives P > R (II true). Combining with R > S gives P > R > S, so P > S (I true). Both follow.
Answer: B) Both I and II are true

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