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Consider the relation: A ≤ B < C = D ≥ E. Which of the following conclusions is definitely true?

Competition practiceInequalities
  • AA < E
  • BC > E
  • CA < C
  • DD ≤ E

Step-by-Step Solution

A ≤ B and B < C give A < C (definitely true). C = D ≥ E gives only C ≥ E, not C > E. A and E have no linking chain, so 'A < E' is undetermined. D ≥ E makes 'D ≤ E' false in general.
Answer: C) A < C

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