Question:
Given \( 6<x<7 \) and \( y = 8 \).
Given \( 6<x<7 \) and \( y = 8 \).
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When comparing quantities involving inequalities, calculate the bounds of the quantities and compare them accordingly.
Updated On: Sep 30, 2025
- Quantity A is greater.
- Quantity B is greater.
- The two quantities are equal.
- The relationship cannot be determined from the information given.
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The Correct Option is A
Solution and Explanation
We are given that \( 6<x<7 \) and \( y = 8 \). The quantity \( \frac{x}{y} \) (Quantity A) will always be less than \( 1 \), since \( x \) is between 6 and 7, and \( y = 8 \). The quantity \( 0.85 \) (Quantity B) is clearly greater than \( \frac{x}{y} \), since \( \frac{6}{8} = 0.75 \) and \( \frac{7}{8} = 0.875 \), which is less than \( 0.85 \). Therefore, Quantity B is greater.
Final Answer: \[ \boxed{\text{Quantity B is greater.}} \]
Final Answer: \[ \boxed{\text{Quantity B is greater.}} \]
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