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In a certain code, '@' means 'greater than', '#' means 'greater than or equal to', '$' means 'smaller than', '&' means 'smaller than or equal to', and '*' means 'equal to'. Given the statements: X # Y, Y $ Z, Z & W — which of the following is definitely TRUE?

Competition practiceInequalities
  • AW @ Y
  • BX @ W
  • CX $ Z
  • DY @ Z

Step-by-Step Solution

X >= Y, Y < Z, Z <= W. Since W >= Z > Y, we get W > Y, i.e. W @ Y. X vs Z and X vs W cannot be fixed, and Y < Z makes Y @ Z false.
Answer: A) W @ Y

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