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In the statements, the symbols follow the usual meaning. Statements: P ≥ Q and Q < R ≤ S. Conclusions: I. P > R.
II. S ≥ Q. Which conclusion(s) follow?

Competition practiceInequalities
  • ABoth I and II follow
  • BOnly I follows
  • CNeither I nor II follows
  • DOnly II follows

Step-by-Step Solution

Q < R ≤ S gives Q < S, hence S ≥ Q (II follows). P ≥ Q < R gives no definite relation between P and R, so I does not follow.
Answer: D) Only II follows

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