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In a code, 'X ! Y' means X > Y, 'X ? Y' means X < Y, 'X ~ Y' means X = Y, 'X + Y' means X ≥ Y, and 'X - Y' means X ≤ Y. For the statement 'M + N ! P ~ Q', which conclusion is definitely true?

Competition practiceInequalities
  • AQ > N
  • BP > N
  • CM > Q
  • DM < N

Step-by-Step Solution

Decoding gives M ≥ N > P = Q, so M ≥ N > Q means M > Q. N > P rules out P > N, and M ≥ N rules out M < N.
Answer: C) M > Q

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