Question
2. Which pair of numbers is a solution to \( x<9 \) a. -4 and 10 b. -6 and 9 c. -8 and 7 d. 11 and -10
Ask by Martin Valdez. in the United States
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The pair **-8 and 7** is a solution to \( x < 9 \).
Solution
To determine which pair of numbers is a solution to the inequality \( x < 9 \), we need to check each pair to see if both numbers in the pair satisfy the condition \( x < 9 \).
Let's evaluate each option:
a. **-4 and 10**
- \(-4 < 9\) (True)
- \(10 < 9\) (False)
- **Conclusion**: This pair is not a solution.
b. **-6 and 9**
- \(-6 < 9\) (True)
- \(9 < 9\) (False)
- **Conclusion**: This pair is not a solution.
c. **-8 and 7**
- \(-8 < 9\) (True)
- \(7 < 9\) (True)
- **Conclusion**: This pair is a solution.
d. **11 and -10**
- \(11 < 9\) (False)
- \(-10 < 9\) (True)
- **Conclusion**: This pair is not a solution.
After evaluating all the options, the only pair that satisfies the inequality \( x < 9 \) for both numbers is:
**c. -8 and 7**.
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Simplify this solution Extra Insights
Let's take a closer look at the pairs of numbers in each option. The condition \( x < 9 \) means that any solution must have the first number less than 9. Now, let's check each option: - a. -4 is less than 9, but 10 is not. - b. -6 is less than 9, but 9 is not (as it's equal). - c. -8 is less than 9, and 7 is also less than 9. - d. 11 is greater than 9, and -10 is less, but only one number must meet the condition. The only pair where both numbers satisfy \( x < 9 \) is option **c: -8 and 7**.
