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Given the relationship A is greater than or equal to B = C, and C is less than or equal to D (that is, A is greater than or equal to B, B = C, and C is less than or equal to D). Consider the conclusions: I. A is greater than or equal to D.
II. A < D. Which conclusion follows?

Competition practiceInequalities
  • ANeither I nor II follows
  • BOnly conclusion II follows
  • COnly conclusion I follows
  • DEither I or II follows

Step-by-Step Solution

A and D are both greater than or equal to C, but their mutual order is not fixed. The two conclusions (A greater than or equal to D, and A < D) are complementary and together cover all cases, so either I or II follows.
Answer: D) Either I or II follows

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