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Read the statements and decide which conclusion follows. Statements: X ≤ Y, Y > Z. Conclusions: I. X < Z.
II. X ≥ Z.

Competition practiceInequalities
  • ANeither follows
  • BOnly II follows
  • COnly I follows
  • DEither I or II follows

Step-by-Step Solution

Both X and Z lie at or below Y, so their order is not fixed — X could be less than, equal to, or greater than Z. Conclusions I (X < Z) and II (X ≥ Z) together cover every case and are mutually exclusive, so exactly one must hold: either I or II follows.
Answer: D) Either I or II follows

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