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In the statement below, the relations hold as written. Statement: P ≤ Q < R = S ≥ T. Conclusions: I. P < S.
II. P ≥ T. Which conclusion(s) definitely follow?

Competition practiceInequalities
  • AOnly I follows
  • BOnly II follows
  • CNeither follows
  • DBoth I and II follow

Step-by-Step Solution

P ≤ Q < R = S gives P < S, so I follows. Between P and T there is no connecting chain (P is on the ≤/< side while T is only bounded above by S), so no definite relation exists — II does not follow.
Answer: A) Only I follows

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