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In the following, the symbols mean: @ = 'greater than or equal to', # = 'less than', $ = 'greater than', % = 'equal to'. Statements: A @ B, B % C, C # D. Conclusions: I. A $ C.
II. A % C. Which conclusion follows?

Competition practiceInequalities
  • ANeither I nor II follows
  • BEither I or II follows
  • COnly II follows
  • DOnly I follows

Step-by-Step Solution

A >= B and B = C give A >= C, i.e. A > C or A = C. Conclusions I (A > C) and II (A = C) are complementary and together cover A >= C, while neither holds alone, so either I or II follows.
Answer: B) Either I or II follows

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