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This question writes the relation signs as typographic marks: '¤' means 'is equal to', '†' means 'is greater than or equal to', '‡' means 'is less than or equal to', '§' means 'is greater than', and '¶' means 'is less than'.
Given that 'R § S', 'S ¤ T' and 'T † U' are all true, which of the following does NOT follow?

Competition practiceInequalities
  • AR § T
  • BS § U
  • CR § U
  • DS ¤ T

Step-by-Step Solution

Decoded, the statements are R > S, S = T and T ≥ U, so the chain is R > S = T ≥ U. 'R § T' (R > T) follows, since S = T turns R > S into R > T. 'R § U' (R > U) follows, since R > T and T ≥ U compose to a strict result. 'S ¤ T' (S = T) is given outright. But 'S § U' claims S > U, and the only link between them is T ≥ U with S = T, which yields S ≥ U and no more: R = 9, S = T = 5, U = 5 satisfies every statement while making S > U false. That is the trap — the non-strict link T ≥ U allows equality, so it can support S ≥ U but never S > U.
Answer: B) S § U

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