- Translate "Six plus two" to the expression \(6+2\).
- Translate "nine plus three" to the expression \(9+3\).
- Recognize that "is less than" represents the inequality symbol \(<\).
- The final inequality is \(\boxed{6+2 < 9+3}\).
Explanation
- Translating the sentence to an inequality
The problem asks to translate the sentence "Six plus two is less than nine plus three" into a mathematical inequality.
- The phrase "Six plus two" translates to the expression \(6 + 2\).
- The phrase "nine plus three" translates to the expression \(9 + 3\).
- The phrase "is less than" translates to the inequality symbol \(<\).
Combining these parts, the sentence becomes the inequality \(6 + 2 < 9 + 3\).
- Selecting the correct option
Comparing the derived inequality \(6 + 2 < 9 + 3\) with the provided options:
- \(6 + 2 < 9 + 3\)
- \(6 + 2 \geq 9 + 3\)
- \(6 + 2 > 9 + 3\)
- \(6 + 2 \leq 9 + 3\)
The first option matches the expression we constructed. Therefore, the correct inequality is \(6 + 2 < 9 + 3\). Thus, the final answer is \(\boxed{6+2 < 9+3}\).
Examples
In everyday life, we often compare quantities to understand relationships between different sets of items. For example, if you have 6 apples in one bag and 2 in another, you have a total of 8 apples. If a friend has 9 apples in one bag and 3 in another, they have a total of 12 apples. Since 8 is less than 12, you can correctly represent the situation as \(8 < 12\), which is equivalent to saying \(6 + 2 < 9 + 3\). Learning to translate these verbal comparisons into mathematical language helps in modeling real-world situations effectively.