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Advik: Most stores in our town with fewer than five employees are owned by women.
Every antique store in our town has fewer than five employees.
However, none of the antique stores in our town are owned by women.
If Advik's statements are true, then it must also be true that most of the stores in Advik's town that
| Passage Statement | Visualization and Linkage |
|---|---|
| Most stores in our town with fewer than five employees are owned by women. | Establishes a general pattern for small stores
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| Every antique store in our town has fewer than five employees. | Categorizes all antique stores as "small stores"
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| However, none of the antique stores in our town are owned by women. | Reveals a complete contradiction to the expected pattern
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| Overall Implication | For the general pattern "most small stores are women-owned" to remain true despite antique stores being 0% women-owned, the non-antique small stores must have an even higher concentration of women ownership to compensate for this gap. Example: If 70% of all small stores are women-owned, but antique stores (10 stores) contribute 0%, then the remaining 90 non-antique small stores must be 78% women-owned to maintain the overall majority. |
Inference: Most of the stores in Advik's town that have fewer than five employees and are not antique stores are owned by women.
Supporting Logic: Since most stores with fewer than five employees are owned by women, and every antique store has fewer than five employees but none are owned by women, the non-antique stores with fewer than five employees must have a higher rate of women ownership than the overall average to compensate for the complete absence of women-owned antique stores.
Clarification Note: This inference follows from mathematical necessity - if antique stores contribute 0% to women ownership while being part of a group that is "mostly" women-owned, the remaining stores in that group must exceed 50% women ownership to maintain the majority pattern.