Rational Number Between 9.2 and 10.5
The question asks to identify a rational number that falls within the range defined by $9.2$ and $10.5$. This means the number must be greater than $9.2$ and less than $10.5$. Mathematically, we are looking for a number $x$ such that:
$9.2 < x < 10.5$
We will examine each option provided to see which one satisfies this condition.
Option Analysis
- Option 1: $10.67$
- Check: Is $9.2 < 10.67 < 10.5$?
- Result: No, because $10.67$ is greater than $10.5$.
- Option 2: $9.08$
- Check: Is $9.2 < 9.08 < 10.5$?
- Result: No, because $9.08$ is less than $9.2$.
- Option 3: $9.15$
- Check: Is $9.2 < 9.15 < 10.5$?
- Result: No, because $9.15$ is less than $9.2$.
- Option 4: $9.55$
- Check: Is $9.2 < 9.55 < 10.5$?
- Result: Yes, because $9.55$ is greater than $9.2$ and less than $10.5$.
Conclusion
Based on the analysis, the number $9.55$ is the only option that lies strictly between $9.2$ and $10.5$.
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