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Answer :
To solve this question, we're trying to represent the scenario with an equation or inequality. The scenario involves the product of two consecutive odd integers being less than 76. Let's go through it step-by-step:
1. Understanding the Variables:
- We are told that [tex]\( n \)[/tex] is the first odd integer.
- For two consecutive odd integers, the next integer after [tex]\( n \)[/tex] is [tex]\( n + 2 \)[/tex] because odd numbers increase by 2 (e.g., 3, 5, 7, etc.).
2. Writing the Inequality:
- We want the product of these two consecutive odd integers [tex]\( n \)[/tex] and [tex]\( n + 2 \)[/tex] to be less than 76.
- This can be represented as: [tex]\( n(n + 2) < 76 \)[/tex].
3. Conclusion:
- The inequality [tex]\( n(n + 2) < 76 \)[/tex] correctly reflects the condition that the product of the two consecutive odd integers is less than 76.
Therefore, the correct inequality that represents this scenario is [tex]\( n(n + 2) < 76 \)[/tex].
1. Understanding the Variables:
- We are told that [tex]\( n \)[/tex] is the first odd integer.
- For two consecutive odd integers, the next integer after [tex]\( n \)[/tex] is [tex]\( n + 2 \)[/tex] because odd numbers increase by 2 (e.g., 3, 5, 7, etc.).
2. Writing the Inequality:
- We want the product of these two consecutive odd integers [tex]\( n \)[/tex] and [tex]\( n + 2 \)[/tex] to be less than 76.
- This can be represented as: [tex]\( n(n + 2) < 76 \)[/tex].
3. Conclusion:
- The inequality [tex]\( n(n + 2) < 76 \)[/tex] correctly reflects the condition that the product of the two consecutive odd integers is less than 76.
Therefore, the correct inequality that represents this scenario is [tex]\( n(n + 2) < 76 \)[/tex].
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