hard · LSAT Logical Reasoning

In each district, more than half of the registered beekeepers use removable-frame hives. Every beekeeper who uses such hives either harvests honey commercially or participates in the mite-monitoring network. In District R, fewer than half of registered beekeepers harvest honey commercially.

The statements above, if true, most strongly support which one of the following?

  1. Fewer than half of District R's removable-frame users harvest honey commercially.
  2. District R's commercial honey harvesters and mite-network participants are disjoint groups.
  3. At least one District R beekeeper both harvests commercially and participates in the mite network.
  4. More than half of District R's registered beekeepers participate in the mite-monitoring network.
  5. At least one registered beekeeper in District R participates in the mite-monitoring network.

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