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Answer :
To solve this problem, let's break down the scenario:
We need to find an equation or inequality that represents the statement: "The product of two consecutive odd integers is less than 76."
1. Identifying Consecutive Odd Integers:
- Odd integers differ by 2. So if we let [tex]\( n \)[/tex] represent the first odd integer, the next consecutive odd integer would be [tex]\( n + 2 \)[/tex].
2. Setting Up the Product:
- The product of these two consecutive odd integers would be calculated as:
[tex]\[
n \times (n + 2)
\][/tex]
3. Formulating the Inequality:
- According to the scenario, this product needs to be less than 76. So, we can set up the inequality:
[tex]\[
n(n + 2) < 76
\][/tex]
So, the correct inequality that represents the given scenario is:
[tex]\[
n(n + 2) < 76
\][/tex]
We need to find an equation or inequality that represents the statement: "The product of two consecutive odd integers is less than 76."
1. Identifying Consecutive Odd Integers:
- Odd integers differ by 2. So if we let [tex]\( n \)[/tex] represent the first odd integer, the next consecutive odd integer would be [tex]\( n + 2 \)[/tex].
2. Setting Up the Product:
- The product of these two consecutive odd integers would be calculated as:
[tex]\[
n \times (n + 2)
\][/tex]
3. Formulating the Inequality:
- According to the scenario, this product needs to be less than 76. So, we can set up the inequality:
[tex]\[
n(n + 2) < 76
\][/tex]
So, the correct inequality that represents the given scenario is:
[tex]\[
n(n + 2) < 76
\][/tex]
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