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Using the code '*' = greater than, '@' = less than, '#' = equal to, '^' = greater than or equal to and '~' = less than or equal to: if 'X @ Y' and 'Y ~ Z' are true, which of these must be true?

Competition practiceInequalities
  • AX @ Z
  • BZ @ X
  • CX # Z
  • D

Step-by-Step Solution

X < Y and Y ≤ Z give X < Z, which is coded 'X @ Z'. The other three contradict X < Z.
Answer: A) X @ Z

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