Question

1. solve the following inequality: 6n - 6 > 6

Explanation:

Step1: Add 6 to both sides

To isolate the term with \( n \), we add 6 to both sides of the inequality \( 6n - 6 > 6 \). This gives us \( 6n - 6 + 6 > 6 + 6 \), which simplifies to \( 6n > 12 \).

Step2: Divide both sides by 6

To solve for \( n \), we divide both sides of the inequality \( 6n > 12 \) by 6. So, \( \frac{6n}{6} > \frac{12}{6} \), which simplifies to \( n > 2 \).

Answer:

\( n > 2 \)