Question

2(b - 4) > -6

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( b \), we divide both sides of the inequality \( 2(b - 4) > -6 \) by 2. This gives us \( \frac{2(b - 4)}{2} > \frac{-6}{2} \), which simplifies to \( b - 4 > -3 \).

Step2: Add 4 to both sides

To solve for \( b \), we add 4 to both sides of the inequality \( b - 4 > -3 \). This results in \( b - 4 + 4 > -3 + 4 \), which simplifies to \( b > 1 \).

Answer:

\( b > 1 \)