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Four parcels are compared by weight; each letter stands for one parcel’s weight.
Statement: D ≥ E > F ≥ G
Conclusions: I. D > G
II. D > F
Which conclusion follows?

Competition practiceInequalities
  • AOnly I follows
  • BOnly II follows
  • CBoth I and II follow
  • DNeither I nor II follows

Step-by-Step Solution

Compose the chain link by link. D ≥ E and E > F: a non-strict link followed by a strict one gives the strict result D > F, so II follows. Now extend it: D > F and F ≥ G give D > G, because a strict link followed by a non-strict one is still strict. So I follows too. 'Only II follows' is what a solver gets who accepts D > F but then believes the trailing F ≥ G destroys the strictness and blocks D > G. 'Neither' comes from assuming a chain that opens with ≥ can never produce a strict result at all. 'Only I follows' comes from checking just the two ends of the whole chain and never testing the intermediate pair D and F.
Answer: C) Both I and II follow

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