Question
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality?
7 < h < 9
7 > h > 9
h < 7 or h > 9
h > 7 or h < 9
Please answer with letters and the explanation
7 < h < 9
7 > h > 9
h < 7 or h > 9
h > 7 or h < 9
Please answer with letters and the explanation
Answers
GPT-4o mini
To express Antonio's driving conditions as a single compound inequality, we need to analyze the conditions provided:
1. Antonio can drive home after working **less than 7 hours**.
2. Antonio can also drive home after working **more than 9 hours**.
These two conditions can be combined using the word "or," since either condition is sufficient for him to avoid heavy traffic.
In inequality terms, these conditions translate to:
- **Less than 7 hours**: \( h < 7 \)
- **More than 9 hours**: \( h > 9 \)
Thus, we can write this as:
\[ h < 7 \text{ or } h > 9 \]
Among the options provided, the correct representation of these conditions as a single compound inequality is:
**h < 7 or h > 9**
This means that as long as Antonio works for less than 7 hours or more than 9 hours, he can avoid heavy traffic.
1. Antonio can drive home after working **less than 7 hours**.
2. Antonio can also drive home after working **more than 9 hours**.
These two conditions can be combined using the word "or," since either condition is sufficient for him to avoid heavy traffic.
In inequality terms, these conditions translate to:
- **Less than 7 hours**: \( h < 7 \)
- **More than 9 hours**: \( h > 9 \)
Thus, we can write this as:
\[ h < 7 \text{ or } h > 9 \]
Among the options provided, the correct representation of these conditions as a single compound inequality is:
**h < 7 or h > 9**
This means that as long as Antonio works for less than 7 hours or more than 9 hours, he can avoid heavy traffic.