We can translate the wording part as follows:
1. Multiply the quantity 2 more than a number by 8:
8 * (2 + n)
2. The result is at least: it means that the value is the value in question or values greater than this number, therefore, we have an inequality here ( >=).
3. The result is at least 12 times the number subtracted from 76:
76 - 12n
Therefore, the inequality that represents the description is:
![8\cdot(2+n)\ge76-12n](https://img.qammunity.org/2023/formulas/mathematics/college/uhw2teqqgv7c6z3f1msu3476jrkefz9iw9.png)
Then, the correct option is C.