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In a coded language: 'P @ Q' means P ≥ Q, 'P # Q' means P ≤ Q, 'P & Q' means P > Q, 'P © Q' means P < Q, and 'P $ Q' means P = Q. Given that 'A @ B' and 'B & C' are both true, which of the following is definitely true?

Competition practiceInequalities
  • AA $ C
  • BA © C
  • CA & C
  • DC @ A

Step-by-Step Solution

'A @ B' is A ≥ B and 'B & C' is B > C, so A ≥ B > C gives A > C, which is written 'A & C'.
Answer: C) A & C

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