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In a code: 'P $ Q' = P >= Q; 'P # Q' = P <= Q; 'P @ Q' = P > Q; 'P & Q' = P < Q; 'P * Q' = P = Q. Statements: A @ B, B * C, C $ D. Conclusions: I. A @ D.
II. A @ C. Which conclusion(s) follow?

Competition practiceInequalities
  • AOnly conclusion I follows
  • BNeither conclusion follows
  • COnly conclusion II follows
  • DBoth conclusions follow

Step-by-Step Solution

Decoding gives A > B = C >= D. So A > C (II: A @ C) and, since C >= D, A > D (I: A @ D). Both hold.
Answer: D) Both conclusions follow

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