1. The problem states that the lowest wind speed recorded is 5 mph and the highest is 14 mph. 2. We want to find an inequality that is true for all wind speeds $w$ recorded that day. 3. Since $w$ can be any value between the lowest and highest speeds, $w$ must be at least 5 and at most 14. 4. This means the inequality is $$5 \leq w \leq 14$$ 5. Let's check the options: - a. $w \leq 5$ is false because wind speeds can be higher than 5. - b. $w \leq 9$ is false because wind speeds can be higher than 9. - c. $w \geq 14$ is false because wind speeds can be lower than 14. - d. $5 \leq w \leq 14$ is true because it includes all wind speeds between 5 and 14. Final answer: d. $5 \leq w \leq 14$