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In the following, '@' means 'greater than or equal to', '#' means 'less than or equal to', '*' means 'greater than', '%' means 'less than', and '$' means 'equal to'. Statements: X @ Y and Y $ Z. Which conclusion is definitely true?

Competition practiceInequalities
  • AX is greater than or equal to Z
  • BX is greater than Z
  • CX is equal to Z
  • DX is less than Z

Step-by-Step Solution

X @ Y means X >= Y and Y $ Z means Y = Z. So X >= Z, i.e. X is greater than or equal to Z (equality is possible, so a strict inequality is not certain).
Answer: A) X is greater than or equal to Z

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