The Gini coefficient is a measure of income inequality within a country and it ranges from 0 to 100% (or 0 to 1). A Gini coefficient of 0% indicates perfect equality (everyone has the same income), while a Gini coefficient of 100% indicates perfect inequality (one person has all the income, and everyone else has none).
Based on this information, we can evaluate the statements provided:
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Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%.
- This is a valid statement because 82% (greater inequality) is greater than 38%.
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Country A has a Gini coefficient of 122% and Country B has a Gini coefficient of 93%.
- This is invalid because Gini coefficients cannot exceed 100%.
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Country A has a Gini coefficient of 25% and Country B has a Gini coefficient of 74%.
- This is also a valid statement as 25% is less than 74%.
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Country A has a Gini coefficient of 93% and Country B has a Gini coefficient of -12%.
- This is invalid since Gini coefficients cannot be negative.
From the analysis above, the only statements that correctly describe the condition where Country A has greater income inequality than Country B, with valid Gini coefficients, are the first and third statements.
However, if we are looking specifically for the description that upholds the condition of higher inequality for Country A compared to Country B, then:
The correct answer is: "Country A has a Gini coefficient of 82% and Country B has a Gini coefficient of 38%."