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In a code, '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. For the statement 'A & B $ C # D', which conclusion is definitely true?

Competition practiceInequalities
  • AC > B
  • BD > A
  • C
  • DA > D

Step-by-Step Solution

Decoding gives A > B ≥ C = D, so A > B ≥ D means A > D. C ≤ B rules out C > B, and A > B ≥ C rules out A = C.
Answer: D) A > D

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