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In the expression X < Y ≥ Z, consider the conclusions: I. X < Z.
II. X > Z. Which conclusion follows?

Competition practiceInequalities
  • AEither I or II follows
  • BNeither I nor II follows
  • COnly I follows
  • DOnly II follows

Step-by-Step Solution

X < Y and Z ≤ Y give no fixed relation between X and Z. The two conclusions do not cover X = Z, so they are not complementary; neither follows.
Answer: B) Neither I nor II follows

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