Inequality Solve C861F1

1. **State the problem:** We need to solve the inequality $$-4b > 16$$ for the variable $b$. 2. **Recall the rule for inequalities:** When dividing or multiplying both sides of an inequality by a negative number, the inequality sign must be reversed. 3. **Divide both sides by $-4$:** $$\cancel{-4}b > 16 \implies b < \frac{16}{\cancel{-4}}$$ Note the inequality sign flips because we divided by a negative number. 4. **Simplify the fraction:** $$b < -4$$ 5. **Final answer:** The solution to the inequality is $$b < -4$$. This means $b$ can be any number less than $-4$.