1. The problem is to solve the inequality $-4h \geq 16$ for $h$. 2. The rule for inequalities states that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign. 3. Divide both sides of the inequality by $-4$ (a negative number), so flip the inequality sign: $$h \leq \frac{16}{-4}$$ 4. Simplify the right side: $$h \leq -4$$ 5. Therefore, the solution to the inequality is $h \leq -4$. This means $h$ can be any number less than or equal to $-4$.