To solve the inequality \(-2b + 4 > -6\), follow these steps:
- Subtract 4 from both sides:
\[ -2b > -6 - 4 \]
\[ -2b > -10 \]
- Now, divide both sides by -2. Remember to reverse the inequality sign when dividing by a negative number:
\[ b < \frac{-10}{-2} \]
\[ b < 5 \]
So, the solution to the inequality is:
\[ b < 5 \]
This means any value of \(b\) that is less than 5 will satisfy the inequality \(-2b + 4 > -6\).