Final answer:
The correct inequality for the wind speed at which the kite can fly, given the conditions that it must be no less than 7 miles per hour and no more than 16 miles per hour, is 7 ≤ x ≤ 16.
Step-by-step explanation:
The question requires writing an inequality for the wind speed at which the kite can fly. The wind speed must be no less than 7 miles per hour and no more than 16 miles per hour. This can be expressed as an inequality where x represents the wind speed. Therefore, the correct answer is Option 1: 7 ≤ x ≤ 16, which means the wind speed must be greater than or equal to 7 miles per hour and less than or equal to 16 miles per hour. Options 2, 3, and 4 do not accurately reflect the given conditions for the wind speed ranges.