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What equation/inequality represents the following scenario?

The product of two consecutive odd integers is less than 76, where \( n \) is the first odd integer.

A. \( n(n+2) \leq 76 \)
B. \( n(n+1) > 76 \)
C. \( n(n+1) < 76 \)
D. \( n(n+2) < 76 \)

Answer :

Final answer:

The equation/inequality that represents the scenario of the product of two consecutive odd integers being less than 76, where b is the first odd integer, is n(n+2)<76 (Option d).

Explanation:

The equation/inequality that represents the scenario of the product of two consecutive odd integers being less than 76, where b is the first odd integer, is n(n+2)<76.

To understand why this is the correct answer, let's break it down step by step:

  1. The first odd integer is n.
  2. The next consecutive odd integer is n+2.
  3. The product of these two integers is n(n+2).
  4. We want this product to be less than 76, so the inequality is n(n+2)<76.

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