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In a certain code, 'P @ Q' means P is not smaller than Q, 'P # Q' means P is not greater than Q, and 'P = Q' means P is neither greater nor smaller than Q. Given that 'A @ B', 'B # C' and 'C = D' are true, which of the following is definitely true?

Competition practiceInequalities
  • AA ≤ C
  • BD ≥ B
  • CA ≥ D
  • D

Step-by-Step Solution

The statements give A ≥ B, B ≤ C and C = D. Since B ≤ C and C = D, it follows that D ≥ B is definitely true.
Answer: B) D ≥ B

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