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Statements: X ≥ Y ≤ Z. Conclusions: I. X > Z.
II. X ≤ Z. Which conclusion(s) follow?

Competition practiceInequalities
  • AOnly I follows
  • BEither I or II follows
  • COnly II follows
  • DNeither I nor II follows

Step-by-Step Solution

With X ≥ Y and Z ≥ Y, the relation between X and Z is undetermined, but 'X > Z' and 'X ≤ Z' are complementary and together exhaust all cases, so either I or II follows.
Answer: B) Either I or II follows

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